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Jeriel leans a 24-foot ladder against a wall so that it forms an angle of
a
79° with the ground. What's the horizontal distance between the base
of the ladder and the wall? Round your answer to the nearest
hundredth of a foot if necessary.

Respuesta :

MrRoyal

The ladder and the ground form the relationship of a right-angled triangle.

The horizontal distance is 4.67 feet

The given parameters are:

[tex]\mathbf{h = 24}[/tex] -- the height of the ladder

[tex]\mathbf{\theta = 79}[/tex] -- the angle with the ground

To calculate the horizontal distance (d), we make use of the following tangent ratio

[tex]\mathbf{tan(\theta) = \frac{h}{d}}[/tex]

Make d the subject

[tex]\mathbf{d = \frac{h}{tan(\theta)}}[/tex]

Substitute known values

[tex]\mathbf{d = \frac{24}{tan(79)}}[/tex]

Calculate tan(79)

[tex]\mathbf{d = \frac{24}{5.1446}}[/tex]

Divide

[tex]\mathbf{d = 4.67}[/tex]

Hence, the horizontal distance is 4.67 feet

Read more about horizontal distance at:

https://brainly.com/question/18061577

Answer:

4.58

Step-by-step explanation:

I can't believe the tutor doesn't know the answer

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