Find the slope of the hill?

Question

15 yd is the vertical line

384 yd is the horizontal line

Need help with the steps to solve this problem thanks!

Answer 1

First, draw a right triangle, with the vertical leg = 15y at the left, and the horizontal leg = 384y extending to the right.

 

I am unsure if you want the hypotenuse or the angle of the hypotenuse, so here are both values.

 

1. Using the Pythagorean theorem ( a² + b² = c²), we can obtain the length of the hypotenuse.

The formula is c = √(15² + 384²) = 384.3y   So that value is the hypotenuse.

 

2. To determine the angle of the slope, we will use the tangent function, which is opposite ÷ adjacent = 15y ÷ 384y = 0.03906

When we find that value in a table, we get an angle of 2.3^o.