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=(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\°)=(x)/(70)\\x=70*sin(62\°)`

`x=61.81`≈
`62ft`