Solve the Problem $$a = 3 | \sec 2 \pi t | \text {, }$$

Multiple Choice

Solve the problem.
-A rotating beacon is located 3 ft from a wall. The distance from the beacon to the point on the wall where the beacon is aimed is given by
$$a = 3 | \sec 2 \pi t | \text {, }$$
where $t$ is time measured in seconds since the beacon started rotating. Find $a$ for $t = 0.42$ seconds. Round your answer to the nearest hundredth.

A) $- 3.42 \mathrm { ft }$
B) $12.06 \mathrm { ft }$
C) $7.74 \mathrm { ft }$
D) $3.42 \mathrm { ft }$