Question

An engineer wants to build a bridge across a gorge as shown in the figure above. To calculate the length the bridge will need to be, L, she chooses two points directly across the gorge from each other to form one side of a right triangle and then another point that is 20 m apart from one of the first points to make the other side of the right triangle. She calculates the angle opposite the longer side to be 60°.
What is the distance across the gorge, L? Round to the nearest hundredth of a meter.
A.
34.64 m
B.
17.32 m
C.
10 m
D.
40 m

Answer 1

The official answer is C