posted by glenna on .
Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on
land such that ÐCAB = 48.8°. He also measures CA as 318 ft and CB as 523 ft. Find the distance between A
and B. Please round the answer to the nearest tenth.
..pls help me this..
I assume you made the correct diagram.
First let's find angle B
sinB/318 = sin48.8/523
sinB = 318sin48.8/523
once you have angle B, we can find angle C
then using the sine law again
AB/sinC = 523/sin48.8
AB = 523sinC /sin48.5
I will leave the button pushing up to you
(I got 674.5)