Question

If the length of the shadow and height of a tower are in ratio 1:1 ,then what is the angle of elevation?

Answer 1

tan theta=1/1
=1
= tan 45
theta=45
angle of elevation is 45

Answer 2

Answer:

45°

Step-by-step explanation:

We are given that  the length of the shadow and height of a tower are in ratio 1:1

Let the ratio be x

Refer the attached figure

So, Length of shadow  i.e.  BC = x

Height i.e. AB  = x

Using trigonometric ratio:

$tan\theta = \frac{Perpendicular}{Base}$  

$tan \theta = \frac{AB}{BC}$  

$tan \theta = \frac{x}{x}$  

$tan \theta =1$

$\theta =tan^{-1}1$

$\theta =45^{\circ}$

Hence the angle of elevation is 45°