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

Answer:
Answer: C. 26°
Step-by-step 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:
[tex]cos a=\frac{adyacent}{hypotenuse} [/tex]
In our case, it would be:
[tex]cos a=\frac{h}{k} [/tex]
Replacing the values:
[tex]cos a= \frac{8.1}{9} [/tex]
Solving for a:
[tex]cos^{-1} (cos a)=cos^{-1}(\frac{8.1}{9} )[/tex]
[tex]a= cos^{-1}(\frac{8.1}{9} )[/tex]
a≈ 25.8 ≈26
Answer: C. 26°
Answer:
The answer is 26
Step-by-step explanation:
I had this question on a test and got it correct