Answer to Question #190660 in Trigonometry for fsffg

Question

The sun is shining down with an angle of depression of 75°. How long is the shadow of a boy who is 1.2 meters tall

Answer 1

Angle of depression = Angle of elevation = 75°(Alternate angles are equal)

Angle of elevation = 75°

Height of the boy = 1.2m

Length of the boy's shadow = x m

$Tan∅=\frac{opposite}{adjacent}$

$Tan75°=\frac{1.2}{x}$

=> $x = \frac{1.2}{tan75°} = 0.3215$

Hence, the boy's shadow is roughly 0.32 metres long