Question

A ladder leans against a brick wall. The foot of the ladder is 7 feet from the wall. The ladder reaches a height of 22 feet on the wall. What is the angle the ladder makes with the wall? (to the nearest tenth) A) 15.4° B) 17.7° Eliminate C) 18.6° D) 21.5°

Answer 1

Answer:

the answer is 17.7

Step-by-step explanation:

Apply tanθ =  

opposite

adjacent

tanθ =  

7

22

θ = tan−1(

7

22

)

θ = 17.7°

Answer 2

The angle the ladder that will make with the wall is 17.7°.

What is tangent of an angle?

Tangent of the angle is the ratio between the opposite side and adjacent side of the angle in the right angle triangle.

So according to the asked question,

the distance between lader foot and the wall  is 7feet.

the height of the wall is 22feet.

So in triangle ΔABC ,

the height of the wall =AB=22feet

the distance between lader foot and the wall=BC=7feet

∠ABC=90°

the angle between the ladder and the wall= ∠BAC=θ

So in ΔABC,

tan ∠BAC=tan θ=BC/AB

⇒tan θ=7/22

⇒θ=tan⁻¹(7/22)

⇒θ=17.7⁰

Therefore the angle the ladder that will make with the wall is 17.7°.

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