Question

1. Arianna is standing at the bottom of a hill at the zoo. The angle of

elevation from her to the top of the hill is 17 degrees. If the hill is 50 feet
tall, how long is the walkway up the hill?

Answer 1

Given that,

The angle of elevation from her to the top of the hill is 17 degrees.

The hill is 50 feet tall.

To find,

The length of the walkway.

Solution,

h = 50 feet

Let the length of the walkway up the hill is x m. It is the hypotenuse of the right angle triangle. Using trigonometry as follows :

`\sin\theta=(50)/(x)\\\\x=(50)/(\sin(17))\\\\=171.01\ \text{feet}`

Hence, the walkway up the hill is 171.01 feet.