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really dont know how to solve this

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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.)
109 Incorrect: Your answer is incorrect. ft

image

 

asked Feb 18, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Draw the related diagram:

image

The distance between points and is .

The angles and .

The sum of angles in a triangle is .

image

image.

Find the distance across river image.

Apply law of sines: image.

Consider image.

image

image

image

image

image.

The distance across the river is image.

answered Feb 18, 2016 by Sammi Mentor

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