Question

The distance from the base of a flagpole to a point on the ground is 24 feet. The flagpole has a height of 18 feet, as shown in the diagram below. Flagpole 18 feet Ground 24 feet What is r, the distance from the top of the flagpole to the point on the ground? A 16 feet B 21 feet C. 30 feet D. 42 feet

Answer 1

Answer: 30 feet

Explanation:

Given:

To find the distance from the top of the flagpole to the point on the ground, we use Pythagoras' Theorem.

$a^2+b^2=c^2$

So, we plug in what we know

$\begin{gathered} a^2+b^2=c^2 \\ (18)^2+(24)^2=(x)^2 \\ \text{Simplify and Rearrange} \\ 324+576=x^2 \\ x^2=900 \\ x=\sqrt[]{900} \\ \text{Calculate} \\ x=30 \end{gathered}$

Therefore, the distance from the top of the flagpole to the point on the ground is 30 feet.