Q. A tall tower has its base at point K. Three points A, B and C are located at distances of 4 metres, 8 metres and 16 metres respectively from K. The angles of elevation of the top of the tower from A and C are complementary. What is the angle of elevation (in degrees) of the tower’s top from B?

A 60

B 30

C 45

D We need more information to solve this.

E 15

## EXPLANATION

C

Given the distances are :

AE = 4 meters , EB = 8 meters and EC = 16 meters.

Considering the length of ED = K.

Given the angles DAE and angle DCE are complementary.

Hence the angles are A and 90 – A.

Tan(90-A) = Cot A

k = 8 meters.

The angle DBE is given by

Hence the angle is equal to 45 degrees.

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