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.)

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1