Question

If the height of a vertical pole is root 3 times the length of its shadow on the ground find the angle of elevation of sun at that time

Answer 1

Hope this will help you...

Answer 2

Answer:

$\red { Angle \: of \: elevation \: of \:Sun }\green {= 60\degree }$

Step-by-step explanation:

$Let \: length \: of \: the \: shadow \: of \: the \\pole = AB = x \: units$

$Height \: of \: the \: pole (BC) = \sqrt{3} x \: units$

$Let \: angle \: of \: elevation \:of \:Sun = \theta$

$In \: \triangle ABC , \: \angle B = 90\degree$

$tan \: \theta = \frac{ BC}{AB }\\= \frac{ \sqrt{3} x}{x}\\= \sqrt{3}$

$\implies tan \: \theta = tan \: 60\degree$

$\implies \theta = 60\degree$

Therefore.,

$\red { Angle \: of \: elevation \: of \:Sun }\green {= 60\degree }$

•••♪