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Question 130
The shadow of a tower standing on a level ground is found to be 40 metre longer when the suns altitude is 30° than when it is 60°. Find the length of the tower,
Solution
We know that, length of shadow will be equal to the adjacent side and the height of tower is the opposite side of the triangle.
We have been given that difference in lengths of shadows = 40m.
Length of shadow = h tan A.
h tan 60 - h tan 30 = 40
h√3 - h/√3 = 40
(3h -h)/√3 = 40
2h = 40√3
h = 20√3 m.
Option A is the right answer.
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