Question 58 Answer and Explanation _ACT June 2015 Form 73C Math Section

Question 58 Answer and Explanation _ACT June 2015 Form 73C Math Section

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58. In the circle with center D shown below, the length of radius CD is 4 cm, the length of BC is 1 cm, and BC is perpendicular to radius AD at B. When ∠ADC is measured in degrees, which of the following expressions represents the length, in centimeters, of ?

F. $\dfrac{\pi }{45}\left( \sin ^{-1}\left( \dfrac{1}{4}\right) \right)$

G. $\dfrac{\pi }{45}\left( \cos ^{-1}\left( \dfrac{1}{4}\right) \right)$

H. $\dfrac{2\pi }{45}\left( \sin ^{-1}\left( \dfrac{1}{4}\right) \right)$

J. $\dfrac{2\pi }{45}\left( \cos ^{-1}\left( \dfrac{1}{4}\right) \right)$

K. $\dfrac{2\pi }{45}\left( \tan ^{-1}\left( \dfrac{1}{4}\right) \right)$

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation