Help! A 12-foot ladder leans against a building and makes an angle of 65 degrees with the ground. To the nearest foot, how far from the building is the base of the ladder?

Question

asked Jul 28, 2022 38.7k views

2 Answers

Hugocarlmartin · Answer 1 · 2022-07-29T13:33:40+0000

answer: The foot of the ladder is 10 feet away from the base of the wall.

The foot of the ladder is 10 feet away from the base of the wall.

explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20 is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

MERose · Answer 2 · 2022-08-02T05:00:04+0000

Answer:

The foot of the ladder is 10 feet away from the base of the wall.

Explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20 is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

The foot of the ladder is 10 feet away from the base of the wall. [Ans]