A ladder leans against a building, making a 70 angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground. To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?
Accepted Solution
A:
Answer:14.2feetStep-by-step explanation:Given the followingAngle of elevation = 70degreesHeight of the building from the ground = 39feet (opposite)Requireddistance between the base of the building and the base of the ladder (adjacent)Using the SOH CAH TOA identityTan theta = opp/adjTan 70 = 39/dd = 39/tan 70d = 39/2.7475d = 14.2Hence the distance between the base of the building and the base of the ladder is 14.2feet