How long must a ladder be to reach the top of 20” wall if the ladder and the wall form a 32 angle at the top

 23.58

Step-by-step explanation:

23.97 ft

Step-by-step explanation:

In this question apply the expression for determining cosine of an angle.

Cosine of an angle x°=length of the adjacent side÷hypotenuse

where α is the angle in degrees, A is the adjacent side length, and H is the hypotenuse

Given α=32° and A=20ft  H=?

Applying the expression

In this case, the length of the ladder represents the hypotenuse side of the triangle which will be 23.97 ft

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )