40) A 10 ft. ladder positioned against a house makes a 65 degree angle with the ground. How far away from the house is the base of the ladder?
A. 4 feet
B. 6 feet
C. 9.06 feet
D. 4.22 feet

Distance of ladder from base = 4.22 feet (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 10 feet

Angle with ground = 65°

Find:

Distance of ladder from base

Computation:

Length of ladder (hypotenuse) = 10 feet

Distance of ladder from base (Base)

Using trigonometry function

Cosθ = Base / Hypotenuse

Cosθ = Distance of ladder from base / Length of ladder

Cos65 = Distance of ladder from base / 10

0.4226 = Distance of ladder from base / 10

Distance of ladder from base = 0.4226 x 10

Distance of ladder from base =  4.226

Distance of ladder from base = 4.22 feet (Approx.)

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80