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Alexiscolomogo
Answered

Fabian leans a 18-foot ladder against a wall so that it forms an angle of 69° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.

Answer :

Brochr3522go

Answer: 16.12 or 16.1

Step-by-step explanation:

The horizontal distance is equal to 6.45ft.

Using trigonometric ratio SOHCAHTOA,

We have the values of

  • hypothenuse = 18ft
  • angle = 69°
  • Adjacent = ?

Trigonometric Ratio

Using trigonometric ratio to solve this problem,

SOHCAHTOA,

we can easily use the cosine of the angle to find the adjacent side.

[tex]cos\theta = \frac{adjacent}{hypothenuse}\\ cos69 = \frac{adjacent}{18}\\ adjacent = 18cos69\\adjacent = 6.45ft[/tex]

From the calculations above, the horizontal distance is equal to 6.45ft.

Learn more on trigonometric ratio here;

https://brainly.com/question/4326804

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