The length of the shadow on the ground of a tall tree of height 45m is 15 √(3) m. What is the angle (in degree) of elevation of the sun?

The length of the shadow on the ground of a tall tree of…

The length of the shadow on the ground of a tall tree of height 45m is 15 $\sqrt{3}$ m. What is the angle (in degree) of elevation of the sun?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 60°

Concept used:

tan $\theta$ = perpendicular/base

Solution :

According to the question

The height of the tree (BC) = 45 m

The length of the shadow (AB) = 15 $\sqrt{3}$ m

The angle of elevation is ∠CAB

So, tan(∠CAB) = BC/AB

tan(∠CAB) = 45/15 $\sqrt{3}$

tan(∠CAB) = $\sqrt{3}$

Therefore ∠CAB = 60°.....(tan 60° = $\sqrt{3}$ )

Hence the angle of elevation is 60°.