Question

His seat is in the terrace section, about 198 feet from the center of the court. If the angle of depression to the court is 57° which of the following represents the height Kylie sitting? Round to the nearest tenth.

Answer 1

Kylie is sitting 166.1 ft above the court

Explanation:

Given the information. A diagram as shown can be drawn.

As this situation creates a right triangle, we can use the sin function to solve for the height.

We can set up the equation as follows

`sin(57)=(h)/(198)`

Then we can solve for h

`h=198sin(57)`

When solved

h = 166.056 ft

Which rounds to

h = 166.1 ft