Question

From a point on the ground, the angle of elevation of the top of a tower is 45 degrees. After moving 20 m away from the tower, the angle becomes 30 degrees. Find the height of the tower.

Q: Answer- From a point on the ground, the angle of elevation of the top of a tower is 45 degrees. After...

ATQ, Let the initial distance from tower be x m. Since angle 45 degrees, height x After moving 20 m away, distance x 20 Now, tan 30 heightx 20 13 xx 20 x 20 x3 20 x3 - 1 x 203 - 1 203 12 103 1 Height x 103 1 m Answer A. 101 3 m

A 11(2 + √2) m

B 10(1 + √3) m

C 5(1 + √2) m

D 17(1 + √3) m

E None of these

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From a point on the ground, the angle of elevation of the top of a tower is 45 degrees. After moving 20 m away from the tower, the angle becomes 30 degrees. Find the height of the tower.

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