a 24 foot ladder is placed against a building to reach a window on the second floor. the angle of depression from the top of the ladder to the bottom of the ladder is 62 degrees. find the distance between the bottom of the ladder and the base of the building to the nearest tenth of a foot. please help :/

we establish that the angle of depression is in that spot there that forms with the dashed lines. then we can say that angle is the same as that angle in the triangle that forms with the ladder. then, since that's a right angle, we use cosine to find the length between the bottom of ladder to the wall

cos 62 = d / 24
d = 24*cos62
d =11.3 ft

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-05-16T13:57:21+02:00

The distance between the bottom of the ladder and the base of the building will be 11.3 feet.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A 24-foot ladder is placed against a building to reach a window on the second floor.

The angle of depression from the top of the ladder to the bottom of the ladder is 62 degrees.

Then the distance between the bottom of the ladder and the base of the building will be

Let x be the distance between the bottom of the ladder and the base of the building. Then we have

[tex]\rm \cos 62^o = \dfrac{h}{24}\\\\\\h = 11.267\\\\\\ h \approx 11.3 \ feet \\[/tex]

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

https://brainly.com/question/3770177

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