A ladder is leaning against a building and makes 42° angle with the ground. The top of the ladder reaches 30 feet up on the building. What is the length of the ladder?

Here we have a right triangle with hypotenuse h, which is to be found. The top of the ladder is 30 feet above the ground, and that distance is opposite the 42 degree angle mentioned. Use the sine function to determine the hypotenuse, h:

sin 42 deg = opp / hyp, or hyp*sin 42 deg = 30 ft. Then hyp = (30 ft)(sin 42), which in turn equals hyp = (30 ft) / (0.669) = 44.8 feet (answer)

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-08-12T14:45:00+02:00

The length of the ladder will be 44.8 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

A ladder is leaning against a building and makes a 42° angle with the ground.

The top of the ladder reaches 30 feet up on the building.

Let the length of the ladder be L.

Then the length of the ladder is given by the sine of angle 42°.

sin 42° = 30 / L

L = 30 / sin 42°

L = 30 / 0.699

L = 44.8 feet

The length of the ladder will be 44.8 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ5