Question

A 225-foot support wire is attached to the top of a monument at a stake on the ground 100 feet from thebase of the monument, as shownPart AWhat is the approximate height of the monument?А125 feetB202 feetС246 feetD325 feet

Answer 1

The approximate height of the monument is 202 ft

Here, we want to get the approximate height of the monument

Mathematically, what we have is a right triangle with the height of the monument as its height

So, we have to use Pythagoras' theorem to get this height since we have the other two sides

According to the theorem, the square of the hypotenuse (top of monument to stake) is equal to the sum of the squares of the two other sides

Let us call the height of the monumnet h

Thus, we have it that;

`\begin{gathered} 100^2+h^2=225^2 \\ h^2=225^2-100^2 \\ h^2\text{ = 40,625} \\ h\text{ = }\sqrt[]{40,625} \\ h\text{ = 201.55 ft} \end{gathered}`