The angle of elevation of the top of a tower from a point on the ground Which is 30m away from the tower is 30°. find the height of tower
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The angle of elevation of the top of a tower from a point on the ground Which is 30m away from the tower is 30°. find the height of tower
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Answer:
Height of the tower is 17.32 m.
Step-by-step explanation:
Given:
∅ = 30°
distance of tower from the point = 30m
i.e. adjacent side here
To find:
the height of the tower
we use tan∅ = opposite/adjacent
we need to find the side opposite to ∅ =30°
let the opposite be x.
Solution:
tan∅ = tan 30° = 1/√3
= 10(1.732). …(√3 = 1.732)
= 17.32 m
Thus, the height of tower is 17.32 m.