A certain westbound U. S. highway truck route near a river has a downhill grade of 9%. (a) Explain what a 9% downhill grade means. A 9% downhill grade for a segment of road means that the decrease in elevation of the road over the segment is 9% of the change in horizontal distance over the same segment. In other words, for every

A) A 9% downhill grade means that the decrease in elevation of the road over the segment is 9% of the change in Horizontal distance over the same segment. In other words, for every 100 horizontal feet the road descends 9 feet and the road has a slope of 0.09 vertical feet per horizontal foot.

Step-by-step explanation:

A Certain westbound U.S highway truck route near a river has a downhill grade of 9%

A) A 9% downhill grade means that the decrease in elevation of the road over the segment is 9% of the change in Horizontal distance over the same segment. In other words, for every 100 horizontal feet the road descends 9 feet and the road has a slope of 0.09 vertical feet per horizontal foot.

In other to make things clear, lets assume

for X = 1 , y = 9% = 0.09

for y =  9 , x = 9 / 0.09 = 100

slope = y/x = 0.09 / 1 = 0.09

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45