Question

Michael is building a skateboard ramp He cannot decide how long the ramp should be so he draws the blueprint below. Michael draws a vertical line in the big triangle AAGH to form the AABC Michael determines the slope of both triangles to find out which ramp will be steeper​

Answer 1

The answer is below

Explanation:

The slope of a line passing through two points
`(x_1,y_1)\ and\ (x_2,y_2)` is given by:

`slope(m)=(y_2-y_1)/(x_2-x_1)`

The slope of triangle ABC is gotten by finding the slope of line AC. Line AC passes through the point A(15, 1) and C(10, 3). The slope of triangle ABC is given by:

`slope\ of\ triangle\ ABC=(3-1)/(10-15)=-0.4\\`

The slope of triangle AGH is gotten by finding the slope of line AH. Line AH passes through the point A(15, 1) and H(0, 7). The slope of triangle AGH is given by:

`slope\ of\ triangle\ AGH=(7-1)/(0-15)=-0.4\\`

Since both triangles have the same slope, therefore their steepness is the same.