A Surveyor Wants to Find the Distance Across a River $\theta$

Multiple Choice

A surveyor wants to find the distance across a river.A stake is placed on each bank of the river as shown in the figure.She measures a distance of 30.0 m from one stake to another on the same side of the river, thus finding the third vertex on a right triangle.She then measures the angle $\theta$ and finds it equal to 75.9°.What is the distance across the river?

A) 89.2 m
B) 15.3 m
C) 119 m
D) 268 m
E) 29.0 m