Question

The shadow of tree is √3 times its height.Find the angle of elevation of the sun

Answer 1

Plz comment if i am right

Answer 2

Answer:

30 °

Step-by-step explanation:

Refer the attached figure

Let the height of tree AB be h

Since we are given that The shadow of tree is √3 times its height

Length of shadow = √3h

To Find angle of elevation of sun we will use trigonometric ratio

In ΔABC

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

$tan\theta ^{\circ} = \frac{AB}{CB}$  

$tan\theta= \frac{h}{\sqrt{3}h}$  

$tan\theta= \frac{1}{\sqrt{3}}$  

$\theta= tan^{-1}\frac{1}{\sqrt{3}}$  

$\theta =30^{\circ}$

Hence the angel of elevation is 30 °