Question 29 Answer and Explanation _ACT April 2015 Form 73G Math Section

Question 29 Answer and Explanation _ACT April 2015 Form 73G Math Section

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29. Nestor will bury one end of a cable 3 feet from the base of an antenna and attach the other end of the cable at a point on the antenna 8 feet above the ground, as shown below. When taut, the length of the exposed cable will be $\sqrt{73}$ feet. Which of the following expressions represents the measure of the angle the taut cable will make with the level ground?

A. ${tan}^{-1}(\frac{3}{8})$

B. ${tan}^{-1}(\frac{3}{\sqrt{73}})$

C. ${tan}^{-1}(\frac{8}{3})$

D. ${tan}^{-1}(\frac{8}{\sqrt{73}})$

E. ${tan}^{-1}(\frac{\sqrt{73}}{8})$

Answer and Explanation

Your Answer is

Correct Answer is C

Explanation