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The length of the hypotenuse, line segment GH, in triangle GJH measures 6 cm. Line segment JH measures 2 cm. Which is the approximate measure of angle JGH? 18.4° 19.5° 70.5° 71.6°

Respuesta :

19.5 i just took the test
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By using trigonometric relations we will see that the angle is 19.5°

How to get the angle?

Here we have a right triangle, such that we know the length of the hypotenuse and one of the catheti. And we want to find the angle opposite to the known catheti.

Then we can use the relation:

sin(a) = (opposite cathetus)/(hypotenuse)

replacing what we know, we get:

sin(a) = 2cm/6cm = 1/3

Now we can apply the inverse sine function to both sides, so we get:

a = Asin(1/3) = 19.5°

This is the angle.

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

https://brainly.com/question/2217700

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