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A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladder
reach? Round the answer to the nearest tenth of a foot.
13.8 ft
23.8 ft
26.3 ft
80.9 ft

Respuesta :

joemamawillhelpu

Answer:

23.8 ft

Step-by-step explanation:

Trigonometry:

We already know the angle, adjacent side and hypotenuse.

So the formula would be using the cosine ratio:

cos18 = adjacent side over the hypotenuse aka (x/25)

x = cos18 × 25

= 23.8 ft

The height of the wall that the ladder reaches s; B: 23.8 ft

What is angle of Elevation?

We are told that the ladder is 25 ft and is propped against the wall at an angle of 18°.

Thus, the angle of elevation is 18° and the hypotenuse of the triangle is 25 ft.

To find the vertical height that the ladder climbs, it means we are looking for the adjacent side of the triangle.

Thus using the appropriate trigonometric ratio, we have;

Length = 25 cos 18

Length = 23.8 ft

Read more about angle of elevation at; https://brainly.com/question/19594654

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