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

Question

3 years ago

10

of elevation of the ladder is 75 7 Round your answer to the nearest tenth.

1 answer:

geniusboy [140] · Answer 1 · 2022-03-10T12:57:59+03:00

Answer:

Step-by-step 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 )