Question

if the shadow of a person standing in sun is root 3 times its height then the angle of elevation of sun

Answer 1

here is your answer.......

Answer 2

Angle of Elevation of Sun is 30°

Step-by-step explanation:

• Let us consider the height of person as h units

So, according to question,

• Length of shadow becomes $\sqrt 3 h$

• Let ΔABC triangle represent the scenario, wherein

• AB is the height of the person equals h.

• BC is shadow equals $\sqrt 3 h$

Applying trigonometric ratios in the triangular figure, we get -  

$tan \theta = \frac {AB}{BC}\ (As\ tan\A = \frac {Perpendicular}{Base})$

or $tan \theta = \frac {h}{\sqrt 3 h}$

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

$\theta = 30$

Angle of Elevation of Sun is 30°