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Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.


Sagot :

The length of the wall is approximately 16.7ft high.

To solve this problem, we would use trigonometric ratios.

The sine angle between any two body is the ratio between the opposite and hypotenuse.

Data given;

  • angle = 68 degree
  • hypotenuse = 18 foot
  • opposite = ?

Trigonometric Ratio

[tex]sin x = \frac{opposite}{hypotenuse}\\sin 68 = \frac{opposite}{18}\\opposite = 18 sin68\\opposite = 16.68ft[/tex]

From the above calculation, the length of the wall is approximately 16.7ft

Learn more on trigonometric ratio here;

https://brainly.com/question/4326804

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