Question

The 17 foot ladder leans against a wall from a point that 3.3 feet away from the wall on the ground. What is the angle between the ladder and the wall to the nearest tenth of the degree?

Answer 1

11.2°

Step-by-step explanation:

Using the trigonometry ratio,

Note: Assuming the ladder, the wall and the horizontal forms a right angle triangle.

Cosθ = Opposite/Hypotenuse

SinΦ = O/H.......................... Equation 1

Where Φ = angle between the ladder and the wall, O = opposite, H =Hypotenuse.

make Ф the subject of the equation,

Ф = sin⁻¹(O/H).................. Equation 2

Given: O = 3.3 foot, H = 17 foot

Ф = sin⁻¹(3.3/17)

Ф = sin⁻¹(0.194/

Ф = 11.19°.

Ф = 11.2° ( to the nearest tenth degree)

Hence the ladder and the wall makes an angle of 11.2°