Question

A person that is 175 cm tall is standing outside. How long is this person's shadow if the sun is 60 degrees above the ground?

Answer 1

Answer: 101.03 cm

Explanation:

Given

The height of the person is
`h=175\ cm`

Sun is
`60^(\circ)` above the ground

Suppose x is the length of the shadow

From the figure, we can write

`\Rightarrow \tan 60^(\circ)=(h)/(x)\\\\\Rightarrow x=(h)/(\tan 60^(\circ))\\\\\Rightarrow x=101.03\ cm`

So, the length of the shadow is 101.03 cm