Question 40 Answer and Explanation _ACT June 2018 Form A11 Math Section

Use the following information to answer questions 38-40.

Walter recently vacationed in Paris. While there, he visited the Louvre, a famous art museum. Afterward, he took a 3.7-kilometer cab ride from the Louvre to the Eiffel Tower. A tour guide named Amelie informed him that 2.5 million rivets were used to build the tower, which stands 320 meters tall.

40. At a certain point, the angle of elevation formed by the level ground and the line from that point to the top of the Eiffel Tower is 70°. Which of the following expressions is equal to the distance, in meters, between that point and the center of the base of the tower?

F. $320\cos{{70}^{o}}$

G. $320\sin{{70}^{o}}$

H. $320\tan{{70}^{o}}$

J. $\frac{320}{\sin{{70}^{o}}}$

K. $\frac{320}{\tan{{70}^{o}}}$

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

tan70 is the ratio of the height of the tower to the distance from the point to the tower, so choose K