SOLUTION: a 15 foot ladder is placed against a wall at an angle of 65 degres with the ground. how far away is the bottom of the ladder from the wall to the nearest tenth?

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Here you going to want to use cosine.

the base of the triangle created by the latter and the wall is x and the hypontenuse is 15 feet so that sets up this trig ratio:

cos 65 = x/15

now we just need to solve for x

cos 65 = x/15 --> multiply both sides by 15
15 cos(65) = x --> approximate the value of x
6.3 = x