Question 53 Answer and Explanation _ACT April 2010 Form 68G Math Section

Question 53 Answer and Explanation _ACT April 2010 Form 68G Math Section

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53. In ΔABC, the measure of ∠A is 47°, the measure of ∠B is 76°, and the length of BC is 18 centimeters. Which of the following is an expression for the length, in centimeters, of AC ?

(Note: The law of sines states that for any triangle, the ratios of the lengths of the sides to the sines of the angles opposite those sides are equal.)

A. $\frac{sin\,{47}^{\circ}}{18\,sin\,{76}^{\circ}}$

B. $\frac{sin\,{76}^{\circ}}{18\,sin\,{47}^{\circ}}$

C. $\frac{18\,sin\,{47}^{\circ}}{sin\,{76}^{\circ}}$

D. $\frac{18\,sin\,{76}^{\circ}}{sin\,{47}^{\circ}}$

E. $\frac{({sin\,47}^{\circ})({sin\,76}^{\circ})}{18}$

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation