Question 37 Answer and Explanation _ACT OG4 Form 66F Math Section

37. The bottom of the basket of a hot-air balloon is parallel to the level ground. One taut tether line 144 feet long is attached to the center of the bottom of the basket and is anchored to the ground at an angle of 72°, as shown in the figure below. Which of the following expressions gives the distance, in feet, from the center of the bottom of the basket to the ground ?

A. $\frac{144}{cos\,{72}^{\circ}}$

B. $\frac{144}{sin\,{72}^{\circ}}$

C. 144 tan 72°

D. 144 cos 72°

E. 144 sin 72°

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

Seek the height of the hypotenuse, h=144sin72