How do you find the slope of the hill?

Question

15 yd is vertical line

384 yd is horizontal line

Answer 1

we have a 15yd vertical line

and a 384 yard horizontal line.

First change those to feet.

15 yds = 45 ft

384 yds = 1152 ft.

This way we can find correct lengths in ft², etc.

 

If you draw a horizontal line labeled with length 1152 ft,

At one end of this line draw a vertical line labeled with

length 45 ft

 

Now draw the diagonal connecting the end points

 

You now have a right triangle.

 

     |

45 |

ft  |

    |______________________________________________

                    1152 ft

 

When you draw the diagonal the angle at the

bottom on the right end of the 1152 ft line

will be the slope of the hill.  Call it angle a

 

Use the tangent function. 

 

tan(a) = opposite/adjacent = 45/1152

a = tan^-1(45/1152) = 2.237 degrees

 

a = tan^-1(25.6)= 87.763 degrees