Question

B. 3501 yds
C. 1632 yds
D. 3181 yds

Answer 1

Since we are given two angles of a triangle, we can find the third angle.

180 - 38 - 57 = 85

The angle of the triangle at the Voyager is 85 deg.

We also know the length of the side opposite the Voyager, so we have enough information to establish a ratio in the law of sines.

`(a)/(\sin A) = (b)/(\sin B)`

`(2640~yd)/(\sin 85^\circ) = (x)/(\sin 38^\circ)`

`x = (2640~yd~\sin 38^\circ)/(\sin 85^\circ)`

`x = 1632~yd`

Answer: C. 1632 yd