Question

the shadow of the boy x m high is 1.6m and the angle of elevation of sun is 45

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Height\:of\:boy=1.6\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

• In the given question information given about the shadow of the boy x m high is 1.6m and the angle of elevation of sun is 45°.

• We have to find the value of x.

$\green{\underline \bold{Given :}} \\ : \implies \text{Angle\:of\:elevation=}45^{\circ}\\\\ :\implies \text{Length\:of\:shadow=1.6\:m} \\ \\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Height\:of\:boy= ?}$

• Accroding to given question :

$\text{Let\:length\:of\:shadow\:be\:x} \\\\\bold{In \: \triangle \: ABC} \\ : \implies tan \: \theta = \frac{\text{Perpendicular}}{\text{Base}} \\ \\ : \implies tan \: 45^{\circ}= \frac{AB}{BC} \\ \\ : \implies 1 = \frac{x}{1.6} \\ \\ \green{ : \implies x=1.6\:m} \\ \\ \green{\therefore \text{Height\:of\:boy}= 1.6\:m}$