Question

An 8-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side of the house when the angle of elevation of the ladder is 75 7 Round your answer to the nearest tenth.​

Answer 1

Explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the side "?" is the Adjacent side (Adj) and we are given the angle and the Hypontenuse ( long side) (Hyp) of this triangle

so use CAH

cos(75) = Adj / 8

algebra to solve for the Adj side (which is the "?" for this problem )

8*cos(75) = Adj

2.07055 = Adj

so the "?" is 2.1 ft ( rounded to the nearest 10th )