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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