Aladder that is 20ft. long is leaning against the side of a building . if the angle formed between the ladder and the ground is 75

distance between the base of the ladder from the bottom of the building = 5.18ft

Height of the building = 19.32ft

Step-by-step explanation:

The distance between the base of the ladder from the bottom of the building and the height of the building is given by

d = Lcosx

h = Lsinx

Where L is the length of the ladder, d is the distance between the base of the ladder and the bottom of the building, h is the height of the building and x is the angle between the ladder and the ground.

Given; x= 75° L = 20ft

d = 20cos75 = 5.18ft

h = 20sin75 = 19.32ft

the two may have that, even a breakdown is probably offered

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.