Question 876694
your anglels is 65 degrees.
your adjacent side is 8
that's the doistance from the bottom of the ladder to the base of the building.\
90 degree angle is at the base of the building.
your ladder is the hypotenuse of the right triangle formed.
call that x.
your equation is cos(65) = adj/hyp = 8/x
start with:
cos(65) = 8/x
multiply both sides of this eqauation by x and divide both sides of this equation by 65 to get:
x = 8/cos(65)
make sure your calculator is in degree mode and solve using your calculator.
you will get x = 18.9296 feet which rounds to 19 feet.