Question

If the height of a tower is equal to the shadow of the tower , then find the angle of elevation.

Answer 1

height of the tower = let , h

& aa its said that height & shadow is equal in length so , shadow also = h

tan ○ = p / b

tan ○ = h / h
tan ○ = 1

○ = 45°

Answer 2

Angle of elevation of the tower = 45°.

Step-by-step explanation:

Given:

In the given figure below,

In right angle ΔABC, AB represents the vertical pole and BC represents the shadow on the ground.θ represents angle of elevation the sun.

tan θ =$\frac{h }{x}$

But length of shadow = height of the tower, i.e. h = x.

tan θ = $\frac{h }{h}$

tan θ =1

tan θ = tan 45°

θ = 45°

Thus,  angle of elevation of the tower = 45°.