A Contractor Needs to Grade the Slope of a Subdivision

Multiple Choice

A contractor needs to grade the slope of a subdivision lot to place a house on level ground. (See the illustration.) The present slope of the lot is 10.5°. The contractor needs a level lot that is 106 ft deep. To control erosion, the back of the lot must be cut to a slope of 23.2°. How far from the street, measured along the present slope, will the excavation extend? Round your answer to the nearest foot.

A) 184 ft
B) 190 ft
C) 196 ft
D) 168 ft
E) 210 ft