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

Question

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

Quizplus · Accepted Answer

The Answer of 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

A Surveyor Wants to Find the Distance Across a River θ\thetaθ

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