Question

Find the distance from point B to point C.

Answer 1

The answer is 8.5 miles.

In order to find the missing side, you have to do sohcahtoa

In this case, you would use tangent. Since the side you are trying to find is opposite of the angle given. And that the side length given is adjacent to the angle given.

The formula for tangent is

T(angle)=O/A

T(66)=x/5


Multiply 5 on both sides

And it will result in 8.4545

Answer 2

11.2 = BC

Explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite side/ adjacent side

tan 66 = BC/ 5

Multiply each side by 5

5 tan 66 = BC

11.23018387 = BC

Rounding to the nearest tenth

11.2 = BC