Question

An 11-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
14
11
?

Answer 1

Answer:

8.66 m

Step-by-step explanation:

Given that,

The distance from the top of the building to the tip of the shadow is 14 m

The height of the building is 11 m.

We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.

The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.

So,

$H^2=b^2+h^2\\\\b^2=H^2-h^2\\\\b=\sqrt{14^{2}-11^{2}}\\\\b=8.66\ m$

So, the length of the shadow is 8.66 m.