Question

About how long is the rope from the ground to the tent?

Answer 1

Given: The figure shown

To determine: How long is the rope from the ground to the tent

Solution

It can be observed that triangle ABC above, is a right triangle. Based on the two given sides, we solve for the unknown side by using the Pythagoras theorem (The square of the hypothenuse is equal to sum of the squares of the other two sides)

From the triangle angle, the hypothenuse is the side facing the right angle> Therefore

`\begin{gathered} x^2=6^2+4^2 \\ x^2=36+16 \\ x^2=52 \\ x=√(52) \\ x=7.2111feet \end{gathered}`

Hence, the distance of the rope from the ground to the tent is 7.2 feet