Answered

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A cat is in the top of a tree so you will save it you are standing 23 m away from the tree the angle of elevation to the cat is 54 how long does the ladder need to be fro you to get to get the cat?

Sagot :

The ladder needs to be 34.3m long from tree you to get to get the cat.

We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is  54°

Suppose Hypotenuse equals h.

Given, the base is 23m

Using trigonometry,

tan θ = Base / hypotenuse

tan 54° = 23 / h

⇒ 0.67 = 23 / h

⇒ h = 23 / 0.67

⇒ h = 34.3

So, the ladder needs to be 34.3m away in order to reach cat.

To learn more about trigonometric problems from given link

https://brainly.com/question/24349828

#SPJ4

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