Question

Length of the shadow of atree is equal to height of the tree at 10 o'clock in the morning then find angle of elevation of the sun rays with ground at the time

Answer 1

$Let \: Height \:of \:the \:tree = AB \: Units$

$Length \: of \: the \:shadow = BC \:units$

$\pink { AB = BC } \: (given )$

$Angle \: of \:elevation \:of \:the \:Sun \:rays \\with \:ground = \theta$

$In \: \triangle ABC , \\tan \:\theta = \frac{AB}{BC}$

$\implies tan \:\theta = \frac{AB}{AB} \: [From \:(1)]$

$\implies tan \:\theta = 1$

$\implies tan \:\theta = tan \:45\degree$

$\implies \theta = 45\degree$

Therefore.,

$\red { Angle \: of \:elevation \:of \:the }$

$\red {Sun \:rays \:with \:ground}\green { = 45\degree}$

•••♪