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

question 40

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

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