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

question 276

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) \(3.42 \mathrm { ft }\)

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