Question

Find the angle of elevation of the sun, when the length of a shadow is 3 times the height of the tree?

Answer 1

Answer:

Step-by-step explanation:

Let,

the height of the tree be x m.

then, the height of the shadow is 3x m

Angle of Elevation of the Sun=x/3x=1/3

Answer 2

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

$\green{\therefore{\text{Angle\:of\:elevation=}tan^{-1}(\frac{1}{3})}}$

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

• In the given question information given about the length of shadow of a tower is 3 times to it's height.

• We have to find the angle of elevation.

$\green{\underline \bold{Given :}} \\ : \implies \text{Length\:of\:shadow=3 times height\:of\:tree} \\ \\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Angle\:of\:elevation= ?}$

• Accroding to given question :

$\text{Let\:length\:of\:tree\:be\:x} \\\\\bold{In \: \triangle \: ABC} \\ : \implies tan \: \theta = \frac{\text{Perpendicular}}{\text{Base}} \\ \\ : \implies tan \: \theta = \frac{x}{3x} \\ \\ : \implies tan\:\theta = \frac{1}{3} \\ \\ \green{ : \implies \theta = tan^{-1}(\frac{1}{3})} \\ \\ \green{\therefore \text{Angle\: of \: elevation}= tan^{-1}(\frac{1}{3})}$