Question 32 Answer and Explanation _ACT January 2006 Form 61C Math Section

Use the following information to answer questions 29-32.

The youth center has installed a swimming pool on level ground. The pool is a right circular cylinder with a diameter of 24 feet and a height of 6 feet. A diagram of the pool and its entry ladder is shown below.

32. The directions for assembling the pool state that the ladder should be placed at an angle of 75° relative to level ground. Which of the following expressions involving tangent gives the distance, in feet, that the bottom of the ladder should be placed away from the bottom edge of the pool in order to comply with the directions?

F. $\frac{6}{\tan{{75}^{\circ}}}$

G. $\frac{\tan{{75}^{\circ}}}{6}$

H. $\frac{1}{6\,\tan{{75}^{\circ}}}$

J. 6 tan 75°

K. tan (6 · 75°)

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation