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)](https://img.qammunity.org/2023/formulas/mathematics/high-school/rgjb7pfkwkmwg62iv8hvwhef0nbfxijxiz.png)
In our case, it would be:
![cos a=(h)/(k)](https://img.qammunity.org/2023/formulas/mathematics/high-school/4af77ki3pr4xvtqh4wxiw634p5syhizltz.png)
Replacing the values:
![cos a= (8.1)/(9)](https://img.qammunity.org/2023/formulas/mathematics/high-school/r4t3hqyf82fajie0xibezzqyfrc341jqcl.png)
Solving for a:
![cos^(-1) (cos a)=cos^(-1)((8.1)/(9) )](https://img.qammunity.org/2023/formulas/mathematics/high-school/ncqvz2py96zim9ij7res7p4zlvref8t41u.png)
![a= cos^(-1)((8.1)/(9) )](https://img.qammunity.org/2023/formulas/mathematics/high-school/im9hns9al4bdzt4wzyjy5a0tqcxdi76zh8.png)
a≈ 25.8 ≈26
Answer: C. 26°