Question

A string running from the ground to the top of a fence has an angle of elevation of 45°. The string is 10 feet long. What is the distance between the fence and where the string is pegged to the ground?

Answer 1

Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.

Step-by-step explanation:

Since we have given that

Length of string = 10 feet

Angle of elevation = 45°

We need to find the distance between the fence and where the string is pegged to the ground.

We will apply "Cosine formula "

$\cos 45^\circ=\dfrac{Base}{Hypotenuse}\\\\\dfrac{1}{\sqrt{2}}=\dfrac{Base}{10}\\\\Base=\dfrac{10}{\sqrt{2}}\\\\Base=7.07\ feet$

Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.