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Please Help!!!!!!!
1. Jocelyn has a ladder that is 15 ft long. She wants to lean the ladder against a vertical wall so that the top of the ladder is 13.5 ft above the ground. For safety reasons, she wants the angle the ladder makes with the ground to be less than 75°. Will the ladder be safe at this height? Show all your work and draw a diagram to support your answer.

Please Help 1 Jocelyn has a ladder that is 15 ft long She wants to lean the ladder against a vertical wall so that the top of the ladder is 135 ft above the gro class=

Respuesta :

mkellapatha

Answer:

Yes, the ladder will be safe. 64° 9´ < 75°

Step-by-step explanation:

[tex] \sin(x) = \frac{13.5}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 0.9 \\ \: \: \: \: \: \: \: \: \: \: \: \: x=64 \: \: \: \: 9[/tex]

Ver imagen mkellapatha

The height of the ladder will be safe because the angle is less than 75°.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Jocelyn has a ladder that is 15 feet long.

She wants to lean the ladder against a vertical wall so that the top of the ladder is 13.5 feet above the ground.

The length of hypotenuse is 15 feet and length of perpendicular is 13.5 feet.

For safety reasons, she wants the angle the ladder makes with the ground to be less than 75°.

Then the angle θ will be given as,

sin θ = 13.5 / 15

sin θ = 0.90

      θ = sin⁻¹ (0.90)

      θ = 64.16°

The height of the ladder will be safe because the angle is less than 75°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

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