Respuesta :

rockerdude
In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.
facundo3141592

By comparing the given situation with a right triangle, we will find that the elevation angle is 72.2°

So let's think of the given situation as a right triangle, where the height is one cathetus (the opposite one to the elevation angle) and the length of the string is the hypotenuse.

Then we can just use the relation:

Sin(θ) = (opposite cathetus)/hypotenuse

Where:

  • opposite cathetus = 40ft
  • hypotenuse = 42ft.

Replacing that we get:

Sin(θ) = 40ft/42ft

θ = Asin(40/42) = 72.2°

Thus, the elevation angle is 72.2°

If you want to learn more about right triangles, you can read:

https://brainly.com/question/20142200

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