The grade of a highway up a hill is 70%. How much change in horizontal distance is there if the vertical height of the hill is 200 feet? Express the answer to the nearest foot.
A) 305 ft
B) 286 ft
C) 186 ft
D) 296 ft
E) 261 ft

Question

Quizplus · Accepted Answer

The grade of a highway is calculated as (vertical height/horizontal distance) * 100%. Therefore, if the grade is 70% and the vertical height is 200 feet, we can set up the equation 70 = (200/horizontal distance) * 100. Solving for horizontal distance gives us horizontal distance = 200 / 0.7 = 285.71 feet. Rounding to the nearest foot gives us 286 feet.

The Grade of a Highway Up a Hill Is 70