Question

Find the angle of elevation of sun. If length of shadow of a tower is equal to it's height

Answer 1

the value of angle of elevation is 45° and its value is 1

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 length of shadow of a tower is equal to it's height.

• We have to find the angle of elevation.

$\green{\underline \bold{Given :}} \\ : \implies \text{Length\:of\:shadow=Length\:of\:tower} \\ \\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Angle\:of\:elevation= ?}$

• Accroding to given question :

$\text{Let\:length\:of\:shadow\:be\:x} \\\\\bold{In \: \triangle \: ABC} \\ : \implies tan \: \theta = \frac{\text{Perpendicular}}{\text{Base}} \\ \\ : \implies tan \: \theta = \frac{x}{x} \\ \\ : \implies tan\:\theta = 1 \\ \\ : \implies tan\:\theta = tan\:45^{\circ} \\ \\ \green{ : \implies \theta = 45^{\circ}} \\ \\ \green{\therefore \text{Angle\: of \: elevation}= 45^{\circ}}$