Answer
$15.7^{\circ}$
Work Step by Step
First, ensure that your calculator is in radians.
On your graphing calculator, press the following sequence of buttons:
1. COS$^{-1}$
2. (
3. .9627
4. )
5. ENTER
Therefore, $arccos(.9627)=cos^{-1}(.9627)=.274$ radians. Then, convert this number to degrees by multiplying by $\frac{180}{\pi}$.
$.274radians=(.274(\frac{180}{\pi}))^{\circ}\approx15.7^{\circ}$.
