Question 53 Answer and Explanation _ACT April 2007 Form 64E Math Section

Question 53 Answer and Explanation _ACT April 2007 Form 64E Math Section

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53. In the right triangle below, 0 < b < a. One of the angle measures in the triangle is tan^-1( $\frac{a}{b}$ ). What is cos [ tan^-1() ] ?

A. $\frac{a}{b}$

B. $\frac{b}{a}$

C. $\frac{a}{\sqrt{{a}^{2}+{b}^{2}}}$

D. $\frac{b}{\sqrt{{a}^{2}+{b}^{2}}}$

E. $\frac{\sqrt{{a}^{2}+{b}^{2}}}{a}$

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation