ANSWER
(C)38.16
EXPLANATION
The acute angle given in the right triangle is 27°.
The side length adjacent to the 27° angle is 34 units.
The side length we want to find is x units, which is the hypotenuse of the right triangle.
We use the cosine ratio to obtain:
[tex] \cos(27 \degree) = \frac{adjacent}{hypotenuse} [/tex]
[tex]\cos(27 \degree) = \frac{34}{x} [/tex]
Solve for x,
[tex]x = \frac{34}{\cos(27 \degree)} [/tex]
[tex]x = 38.16[/tex]
to the nearest hundredth.
