really dont know how to solve this

Question

To find the distance across a river, a surveyor chooses points A and B, which are x = 100 ft apart on one side of the river (see the figure). She then chooses a reference point C on the opposite side of the river and finds that ∠BAC ≈ 82° and ∠ABC ≈ 52°. Approximate the distance from A to C. (Round your answer to the nearest foot.)
1109 ft

 

Answer 1

Draw the related diagram:

The distance between points and is .

The angles and .

The sum of angles in a triangle is .

.

Find the distance across river .

Apply law of sines: .

Consider .

.

The distance across the river is .