Question 52 Answer and Explanation _ACT 2008 Form 61B Math Section

52. A camper at Site C sends a distress signal. The signal is received by both Ranger Station A and Ranger Station B. As shown below, Ranger Station A is 6 miles directly west of Ranger Station B. Ranger Station A is directly south of Site C. The entire region is flat and level. On a map, the angle formed at Ranger Station B by drawing straight lines from Ranger Station B to Site C and to Ranger Station A measures 57°. About how many miles away from Site C is the closer of the 2 ranger stations ?

F. $\frac{6}{sin\,{57}^{\circ}}$

G. $\frac{6}{cos{57}^{\circ}}$

H. 6 sin 57°

J. 6 cos 57°

K. 6 tan 57°

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

First of all, the hypotenuse in the triangle is longer than the right angle, so we should calculate the value from C to A, CA=AB×tan57°, so choose K