An extension ladder leans agintst a biulding, making a 75 degree angle of elevation with the ground. The base of the ladder is 8 ft from the base of the building. To the nearest tenth of a foot, how long is the ladder?
2 answers:
Use soh-cah-toa so for this problem use soh which would be sin75=8/x sin75= .9659 multiply both sides by x and divide both sides by .9659 you end up with the equation x=8/.9659 and you get about x=8.3ft
For this problem, you're going to need to use trig. More specifically, you need to use the tangent function: tan (value) = opposite/adjacent tan 75 = opposite/8 (Here, the opposite side is the length of the ladder) 8 * tan 75 = opposite 29.8564065 = opposite So, the ladder is 29.9 feet .
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