SOLUTION: A ladder is leaning against the side of a house and forms a 65 degree angle with the ground. The foot of the ladder is 8 feet from the building. Find the length of the ladder to t

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Question 876694: A ladder is leaning against the side of a house and forms a 65 degree angle with the ground. The foot of the ladder is 8 feet from the building. Find the length of the ladder to the nearest foot.
A ladder is leaning against the side of a house and forms a 65 degree angle with the ground. The foot of the ladder is 8 feet from the building. Find the length of the ladder to the nearest foot
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
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.