Question

a man is 1.5m high the angle if elevation of the sun rays with ground is 45° find the length of the shadow​

Answer 1

Given:

A man is 1.5m high the angle if the elevation of the sun rays with the ground is 45°.

To find:

The length of the shadow​

Solution:

To solve the above-given problem we will use the following trigonometric ratio of a triangle:

$\boxed{\bold{tan\:\theta =\frac{Perpendicular}{Base} }}$

The height of the man, h = 1.5 m

The elevation of the sun rays with the ground, θ = 45°

Let "x" meters be the length of the shadow of the man.

Now, by using the above trigonometric ratio, we get

$tan\:45\° =\frac{h}{x} }}$

on substituting the value of h = 1.5 m, we get

$\implies tan\:45\° =\frac{1.5}{x} }}$

$\implies 1 =\frac{1.5}{x} }}$

$\implies \bold{x =1.5 \:m}$

Thus, the length of the shadow is → 1.5 m.

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