Notifications

Clear all

The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°.

Last Post

17/06/2021 11:27 am

Topic starter

The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

Satkriti Roao

(@satkriti-roao)

Noble Member

| 2249 Posts
2248 3 0

Add a comment

Topic Tags

1 Answer

17/06/2021 11:28 am

Let CD be the height of the tower. AB be the height of the building. BC be the distance between the foot of the building and the tower. Elevation is 30 degree and 60 degree from the tower and the building respectively.

16q.png

In right ΔBCD,

tan 60° = CD/BC

√3 = 50/BC

BC = 50/√3 …(1)

Again, In right ΔABC,

tan 30° = AB/BC

⇒ 1/√3 = AB/BC

Use result obtained in equation (1) AB

= 50/3

Thus, the height of the building is 50/3 m.

Samar shah

(@samar-shah)

Noble Member

| 2247 Posts
0 2247 0

Add a comment

Forum Statistics

321 Forums

27.1 K Topics

53.3 K Posts

1 Online

48.3 K Members

Latest Post: Assertion: Excess of nitrates in drinking water are harmful for infants. Our newest member: latoshabidmead4 Recent Posts Unread Posts Tags

Forum Icons: Forum contains no unread posts Forum contains unread posts Mark all read

Topic Icons: Not Replied Replied Active Hot Sticky Unapproved Solved Private Closed

Super Globals

Requests: Array ( )

Server: Array ( )

Options and Features

permastruct: community
use_home_url: 0
url: https://eanshub.com/community/
Array
(
    [title] =>  Forum
    [description] =>  Discussion Board
    [lang] => 1
)
pageid:187
default_groupid: 3
Array
(
    [layout_extended_intro_topics_toggle] => 1
    [layout_extended_intro_topics_count] => 5
    [layout_extended_intro_topics_length] => 45
    [layout_qa_intro_topics_toggle] => 1
    [layout_qa_intro_topics_count] => 0
    [layout_qa_intro_topics_length] => 90
    [layout_threaded_intro_topics_toggle] => 0
    [layout_threaded_display_subforums] => 1
    [layout_threaded_filter_buttons] => 1
    [layout_threaded_add_topic_button] => 1
    [layout_threaded_intro_topics_count] => 10
    [layout_threaded_intro_topics_length] => 0
    [display_current_viewers] => 1
)
Array
(
    [layout_extended_intro_posts_toggle] => 1
    [layout_extended_intro_posts_count] => 4
    [layout_extended_intro_posts_length] => 50
    [layout_qa_posts_per_page] => 15
    [layout_qa_comments_limit_count] => 10
    [layout_qa_first_post_reply] => 1
    [comment_body_min_length] => 2
    [comment_body_max_length] => 0
    [layout_threaded_posts_per_page] => 5
    [layout_threaded_nesting_level] => 5
    [layout_threaded_first_post_reply] => 0
    [union_first_post] => Array
        (
            [2] => 0
            [4] => 0
            [1] => 0
            [3] => 1
        )

[topic_body_min_length] => 2
    [topic_body_max_length] => 0
    [post_body_min_length] => 2
    [post_body_max_length] => 0
    [recent_posts_type] => topics
    [tags] => 1
    [max_tags] => 5
    [tags_per_page] => 100
    [edit_topic] => 1
    [edit_post] => 1
    [edit_log_display_limit] => 0
    [display_current_viewers] => 1
    [display_recent_viewers] => 1
    [display_admin_viewers] => 1
    [topics_per_page] => 10
    [eot_durr] => 0
    [dot_durr] => 0
    [posts_per_page] => 20
    [eor_durr] => 0
    [dor_durr] => 0
    [search_max_results] => 100
    [max_upload_size] => 10485760
    [attach_cant_view_msg] => You are not permitted to view this attachment
    [toolbar_location_topic] => top
    [toolbar_location_reply] => top
)
Array
(
    [online_status_timeout] => 240
    [members_per_page] => 15
    [url_structure] => nicename
    [search_type] => search
    [login_url] => 
    [register_url] => 
    [lost_password_url] => 
    [redirect_url_after_login] => 
    [redirect_url_after_register] => 
    [redirect_url_after_confirm_sbscrb] => 
    [custom_title_is_on] => 1
    [default_title] => Member
    [rating] => Array
        (
            [0] => Array
                (
                    [points] => 0
                    [title] => New Member
                    [color] => #d2d2d2
                    [icon] => far fa-star-half
                )

[1] => Array
                (
                    [points] => 5
                    [title] => Active Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[2] => Array
                (
                    [points] => 20
                    [title] => Eminent Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[3] => Array
                (
                    [points] => 50
                    [title] => Trusted Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[4] => Array
                (
                    [points] => 100
                    [title] => Estimable Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[5] => Array
                (
                    [points] => 250
                    [title] => Reputable Member
                    [color] => #4dca5c
                    [icon] => fas fa-star
                )

[6] => Array
                (
                    [points] => 500
                    [title] => Honorable Member
                    [color] => #e5d600
                    [icon] => fas fa-certificate
                )

[7] => Array
                (
                    [points] => 750
                    [title] => Prominent Member
                    [color] => #e5d600
                    [icon] => fas fa-certificate
                )

[8] => Array
                (
                    [points] => 1000
                    [title] => Noble Member
                    [color] => #e5d600
                    [icon] => fas fa-certificate
                )

[9] => Array
                (
                    [points] => 2500
                    [title] => Famed Member
                    [color] => #ff812d
                    [icon] => fas fa-shield-alt
                )

[10] => Array
                (
                    [points] => 5000
                    [title] => Illustrious Member
                    [color] => #e04a47
                    [icon] => fas fa-trophy
                )

)

[rating_title_ug] => Array
        (
            [5] => 1
            [4] => 1
            [3] => 1
        )

[rating_badge_ug] => Array
        (
            [1] => 1
            [5] => 1
            [4] => 1
            [2] => 1
            [3] => 1
        )

[title_usergroup] => Array
        (
            [1] => 1
            [5] => 1
            [4] => 1
            [2] => 1
        )

[title_second_usergroup] => Array
        (
            [3] => 1
        )

[4] => Array
                (
                    [id] => 4
                    [name] => Threaded
                    [version] => 1.0.0
                    [description] => Threaded layout turns your forum to a threads list accented on discussion tree view.
                    [author] => gVectors Team
                    [url] => http://gvectors.com/
                    [file] => classic/layouts/4/forum.php
                )

[1] => Array
                (
                    [id] => 1
                    [name] => Extended
                    [version] => 1.0.0
                    [description] => Extended layout displays one level deeper information in advance.
                    [author] => gVectors Team
                    [url] => http://gvectors.com/
                    [file] => classic/layouts/1/forum.php
                )

[3] => Array
                (
                    [id] => 3
                    [name] => QA
                    [version] => 1.0.0
                    [description] => Q&A Layout turns your forum to a powerful question and answer discussion board.
                    [author] => gVectors Team
                    [url] => http://gvectors.com/
                    [file] => classic/layouts/3/forum.php
                )

)

[style] => orange
    [styles] => Array
        (
            [default] => Array
                (
                    [0] => #000000
                    [1] => #FFFFFF
                    [2] => #333333
                    [3] => #555555
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #CCCCCC
                    [8] => #E6E6E6
                    [9] => #F5F5F5
                    [10] => #DADADA
                    [11] => #659FBE
                    [12] => #43A6DF
                    [13] => #72CCFC
                    [14] => #0099CC
                    [15] => #3F7796
                    [16] => #4A8EB3
                    [17] => #DFF4FF
                    [20] => #FF812D
                    [30] => #4DCA5C
                    [31] => #00A636
                    [32] => #86BA4C
                    [33] => #6FA634
                    [40] => #FF9595
                    [41] => #FF7575
                    [42] => #F46464
                )

[red] => Array
                (
                    [0] => #000000
                    [1] => #ffffff
                    [2] => #333333
                    [3] => #555555
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #cccccc
                    [8] => #e6e6e6
                    [9] => #f5f5f5
                    [10] => #dadada
                    [11] => #e0141e
                    [12] => #ee1a26
                    [13] => #fc979c
                    [14] => #e0141e
                    [15] => #99262b
                    [16] => #d61319
                    [17] => #fff7f7
                    [20] => #30b2a7
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #86ba4c
                    [33] => #6fa634
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

[green] => Array
                (
                    [0] => #000000
                    [1] => #ffffff
                    [2] => #333333
                    [3] => #555555
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #cccccc
                    [8] => #e6e6e6
                    [9] => #f5f5f5
                    [10] => #dadada
                    [11] => #6ea500
                    [12] => #649e2d
                    [13] => #8dce0c
                    [14] => #447714
                    [15] => #5a7f10
                    [16] => #6ea500
                    [17] => #f8fcef
                    [20] => #ff812d
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #ff812d
                    [33] => #f47222
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

[orange] => Array
                (
                    [0] => #000000
                    [1] => #ffffff
                    [2] => #333333
                    [3] => #555555
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #cccccc
                    [8] => #e6e6e6
                    [9] => #f5f5f5
                    [10] => #dadada
                    [11] => #e0762f
                    [12] => #ff6600
                    [13] => #fc9958
                    [14] => #f26000
                    [15] => #aa4f12
                    [16] => #f26000
                    [17] => #fff4ed
                    [20] => #ff812d
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #86ba4c
                    [33] => #6fa634
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

[grey] => Array
                (
                    [0] => #000000
                    [1] => #ffffff
                    [2] => #333333
                    [3] => #343434
                    [4] => #666666
                    [5] => #777777
                    [6] => #999999
                    [7] => #cccccc
                    [8] => #e6e6e6
                    [9] => #f5f5f5
                    [10] => #dadada
                    [11] => #888888
                    [12] => #666666
                    [13] => #7eea8d
                    [14] => #777777
                    [15] => #333333
                    [16] => #555555
                    [17] => #dff4ff
                    [20] => #ff812d
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #86ba4c
                    [33] => #6fa634
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

[dark] => Array
                (
                    [0] => #000000
                    [1] => #141414
                    [2] => #bbbbbb
                    [3] => #000000
                    [4] => #666666
                    [5] => #bcbcbc
                    [6] => #999999
                    [7] => #585858
                    [8] => #727272
                    [9] => #323232
                    [10] => #dadada
                    [11] => #888888
                    [12] => #33779b
                    [13] => #7eea8d
                    [14] => #777777
                    [15] => #e0e0e0
                    [16] => #cecece
                    [17] => #33779b
                    [20] => #ff812d
                    [30] => #4dca5c
                    [31] => #00a636
                    [32] => #86ba4c
                    [33] => #6fa634
                    [40] => #ff9595
                    [41] => #ff7575
                    [42] => #f46464
                )

)

)
classic

Forum

The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°.

Super Globals

Options and Features

How Can We Help?

Home

About Us

Contact Us

Privacy Policy

Term of Use

Copyright © 2020 Eanshub

All Rights Reserved