Question 48 Answer and Explanation _ACT December 2011 Form 70A Math Section

48. A surveyor is finding the dimensions of the triangular lot shown below. The length of 1 side is 80 feet. Which of the following is an expression for the length, in feet, of the side of the lot opposite the 110° angle?

(Note: The law of sines states that in every triangle, the ratio of a side's length to the sine of the angle opposite that side is equal for all 3 sides.)

F. $\frac{80\,sin\,{24}^{\circ}}{sin\,{110}^{\circ}}$

G. $\frac{sin\,{24}^{\circ}}{80\,sin\,{110}^{\circ}}$

H. $\frac{80}{(sin\,{24}^{\circ})(sin\,{110}^{\circ})}$

J. $\frac{80\,sin\,{110}^{\circ}}{sin\,{24}^{\circ}}$

K. $\frac{sin\,{110}^{\circ}}{80\,sin\,{24}^{\circ}}$

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

Examine the application of the law of sines. The law of sines is given in parentheses at the bottom of the stem.