Question

if h = 8.1 inches and k = 9 inches, what is the approximate measure of angle a?
a. 42°
b. 26°
c. 64°
d. 48°

Explanation:

Step1: Recall cosine formula

$\cos(a)=\frac{h}{k}$

Step2: Substitute given values

Given $h = 8.1$ inches and $k=9$ inches, so $\cos(a)=\frac{8.1}{9}=0.9$

Step3: Find the angle

$a=\arccos(0.9)\approx26^{\circ}$

Answer:

B. $26^{\circ}$