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.

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B}$

$\dfrac{2640~yd}{\sin 85^\circ} = \dfrac{x}{\sin 38^\circ}$

$x = \dfrac{2640~yd~\sin 38^\circ}{\sin 85^\circ}$

$x = 1632~yd$

Answer: C. 1632 yd