A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet f

Question

2 years ago

9

ind the angle that the ladder makes with the ground

1 answer:

Pie · Answer 1 · 2022-11-21T20:02:31+03:00

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°