Question

Johnny's town is having an old-fashioned circus under a large tent. In order to keep the tent from falling down, workers must tie a 70-foot rope from the top corner of the tent to a stake in the ground. If the angle of elevation from the stake in the ground to the top corner of the tent is 62°, approximately how tall is the circus tent?

Answer 1

Answer: 62 feet approximately.

Step-by-step explanation:

1. Based on the information given in the problem, you can draw a right triangle as the one shown in the image attached, where the height of the tent is represented with $x$. Therefore, you can calculate it as following:

$sin\alpha=\frac{oppostite}{hypotenuse}$

Where:

$\alpha=62\°\\opposite=x\\hypotenuse=70$

2. Substitute values and solve for $x$, then the height of the circus tent is:

$sin(62\°)=\frac{x}{70}\\x=70*sin(62\°)$

$x=61.81$≈$62ft$