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Applications of Trigonometry
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17/06/2021 10:58 am
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The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
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17/06/2021 11:01 am
Let AB be the height of the tower and C is the point elevation which is 30 m away from the foot of the tower.
AB (height of the tower)
In right ABC
tan 30° = \(\frac{AB}{BC}\)
\(\frac{1}{\sqrt3}\) = \(\frac{AB}{30}\)
⇒ AB = \(\frac{10}{\sqrt3}\)
Thus, the height of the tower is \(\frac{10}{\sqrt3}\) m.