karinainna15
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a ladder 20 feet long leans against a building, forming an angle of 71° with the level ground. To the nearest foot, how high up the wall of the building does the ladder touch the building?

Answer :

The wall is 18.79 feet high from the ground.

Data;

  • Length of ladder = 20ft
  • angle of elevation = 71 degrees
  • length of the wall = ?

Trigonometric Ratio

To solve this problem, we need to use trigonometric ratio SOHCAHTOA in which we can find the missing side.

if we draw an illustration of this question, we would get

  • hypothenuse = 20ft
  • angle = 71 degrees
  • opposite = ?

Using the sine angle ratio,

[tex]sin\theta=\frac{opposite}{hypothenuse}\\sin71=\frac{x}{20}\\ x=20sin71\\x=18.79ft[/tex]

The wall is 18.79ft high

Learn more on trigonometric ratios here;

https://brainly.com/question/4326804

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