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If h = 8.1 inches and k = 9 inches, what is the approximate measure of angle α?

If h = 8.1 inches and k = 9 inches, what is the approximate measure of angle α?-example-1
User Safet
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2 Answers

7 votes

Answer:

The answer is 26

Explanation:

I had this question on a test and got it correct

User Andrew Dh
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3.9k points
12 votes

Answer:

Answer: C. 26°

Explanation:

Right triangle: a triangle in which one of the interior angles measures 90°.

This type of angle can be solved using trigonometrical functions. As the measure of the sides given are h and k, then we will use:


cos a=(adyacent)/(hypotenuse)

In our case, it would be:


cos a=(h)/(k)

Replacing the values:


cos a= (8.1)/(9)

Solving for a:


cos^(-1) (cos a)=cos^(-1)((8.1)/(9) )


a= cos^(-1)((8.1)/(9) )

a≈ 25.8 ≈26

Answer: C. 26°

User Mathieson
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