Question

From the point on the ground the angel of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45degree and 60 degree find the height of the tower

Answer 1

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Building is 20 m high, So, AB = 20m Let point of ground be P. Angle of elevation from point P to 
top of a transmission tower fixed at the top of a 20m high building are 45degree and 60degree respectively. find the height of the tower 
of a transmission tower fixed at the top of a 20 m high building are 45 degree and 60 degree respectively. Find the height of the tower.
building L = 20 m. Angle from top of building theta = 45 deg ... Hence, the height of the tower is 20(√3-1) or 14.6 m.answer is 60

Answer 2

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Answer:

According to question,

Height of building  L = 20 m

Angle from top of building   theta = 45 deg
Angle from top of tank     A = 60 deg

Let the height of tank be x

Thus

tan theta = L/ B
tan 45 = 20 / B
Thus 

B = 20 m
Now

tan A = x + L / B
x + L = tan 60 * 20
x  =  20 ( root 3 - 1)