Question

At the same time of the day length of the shadow of a tower is equal to its height Find the altitude of the sun

Answer 1

Step-by-step explanation:

high of tower = x

then the lenth of the shadow = x

so,

$\frac{x}{x} = \tan( \alpha )$

$1 = \tan( \alpha )$

$\tan( {45}^{o} ) = \tan( \alpha )$

$\alpha = {45}^{o}$

the altitude of the sun = 45°

Answer 2

Let the length of shadow =x

⇒ Height =x

      Angle =A

so, tanA=xx=1

      tanA=tan450

so, A=450

Hence, the answer is 450.