Aladder is resting against a wall. the ladder and the ground make an angle of 35° and the ladder is 8 ft from the wall. how long is the ladder? round your answer to the nearest hundredth. explain step by step

1.) First you have to find out the measure of all the angles of the triangle that the building ground and ladder form.
One is 35 degrees, as said in the equation
The one formed between the building and the ground is 90 degrees.
The total of all degrees of a triangle is 180
So..Add 35+90 for a total of 125
Then subtract that from 180
Your missing angle is 55 degrees
Then you can make proportions by using the angle it's opposite side.
We know that the bottom of the triangle is 8 ft, and the angle opposite this side is 55 degrees, so we have 8/55
Then the hypotenuse [which is the side we're trying to find out, we'll call it x] is opposite the 90 degree angle, so we have x/90
8/55=x/90
Now cross multiply
8*90=55x
Simplify
720=55x
Divide both sides by 55
x=13.09 ft

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step-by-step explanation:

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