A ladder 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.
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