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Applications of Trigonometry
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16/06/2021 11:55 am
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A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30°.
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16/06/2021 11:58 am
Length of the rope is 20 m and angle made by the rope with the ground level is 30°.
Given, AC = 20 m and angle C = 30°
To Find: Height of the pole
Let AB be the vertical pole
In right ΔABC, using sine formula
sin 30° = AB/AC
Using value of sin 30 degrees is 1/2, we have
1/2 = AB/20
AB = 20/2
AB = 10
Therefore, the height of the pole is 10 m.