Question 33 Answer and Explanation _ACT April 2013 Form 71G Math Section

33. Anoki wants to determine the height of a vertical lighthouse, shown below. He measures the angle of elevation to the top of the lighthouse at a point 103 feet along level ground from the center of the base of the lighthouse. The angle of elevation is 31°. Which of the following expressions gives the best approximation of the height of the lighthouse, in feet?

A. $\frac{cos\,{31}^{\circ}}{103}$

B. $\frac{tan\,{31}^{\circ}}{103}$

C. 103 sin 31°

D. 103 cos 31°

E. 103 tan 31°

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

The opposite side of the 31° angle=103tan 31