Question

the shadow of a man is equal to the height of the man find the angle of elevation

Answer 1

here is your answer....

Answer 2

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

$\green{\therefore{\text{Angle\:of\:elevation=}45^{\circ}}}$

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

• In the given question information given about the shadow of a man is equal to the height of the man.

• We have to Find angle of elevation.

$\green{\underline \bold{Given :}} \\ : \implies \text{Shadow\:of\:man=Height\:of\:man} \\ \\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Angle\:of\:elevation= ?}$

• According to given question :

$\text{Let\:Height\:of\:man\:be\:x}\\\\ \bold{In \: \triangle \: ABC} \\ : \implies tan\:\theta=\frac{\text{perpendicular}}{\text{base}}\\ \\ : \implies tan\:\theta= \frac{AB}{BC} \\ \\ : \implies tan\:\theta=\frac{x}{x}\\\\ :\implies tan\:\theta=1\\\\ :\implies tan\:\theta=tan\:45^{\circ}\\\\ \green{:\implies \theta=45^{\circ}}$