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Jayden leans a 30-foot ladder against a wall so that it forms an angle of 65 ∘ with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.

Respuesta :

Answer:

27.19 ft.

Step-by-step explanation:

sin 65 = x/30

sin 65(30) = x

27.189 ≈27.19

The height of the wall the ladder of 30 feet could reach will be 27.19 feet.

Jayden leans a 30-foot ladder against a wall so that it forms an angle of 65 ∘ with the ground.

What is a trigonometric function?

In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.

sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.

We know that sin Ф = perpendicular/ hypotenuse

Let  assume the height of wall be x

So, sin 65 = x/30

(30) × sin 65 = x

x = 27.189 ≈27.19

Hence, the height of the wall the ladder could reach will be 27.19 feet.

Learn more about a trigonometric function;

https://brainly.com/question/6904750

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