Question

The recommended angle for a ladder relative to the ground is 75 degrees or greater. If a 17 foot ladder is leaning against a building with the base of the ladder 4 feet from the wall. What angle does the ladder make with the ground? Express your answer using degree measure rounded to one decimal place.

Answer 1

76.4°

Step-by-step explanation:

Length of ladder, L = 17 foot

Distance of ladder from the wall, d = 4 feet

Let θ be the angle which makes ladder with the horizontal ground.

According to the diagram

`Cos \theta  = (d)/(L)`

By substituting the values, we get

`Cos \theta  = (4)/(17)`

`Cos \theta  = 0.2353`

θ = 76.4°

Thus, the ladder makes an angle 76.4° with the ground.

Answer 2

`\theta = 76.4 degree`

Step-by-step explanation:

The distance of the foot of the ladder is 4 feet from the wall

length of the ladder is given as 17 foot

so we will have

`cos\theta = (base)/(hypotaneuse)`

so here we have

base = 4 ft

hypotenuse = 17 ft

now we have

`cos\theta = (4)/(17)`

`\theta = cos^(-1) (4)/(17)`

`\theta = 76.4 degree`