Solve Apps: Other Trigonometric Functions
-A rotating beacon is located $4 \mathrm { ft }$ from a wall. If the distance from the beacon to the point on the wall where the beacon is aimed is given by $a = 4 | \sec 2 \pi t |$, where $t$ is in seconds, find a when $t = 0.41$ seconds. Round your answer to the nearest hundredth.
A) $4.74$ feet
B) $14.34$ feet
C) $9.54$ feet
D) $- 4.74$ feet

Question

Quizplus · Accepted Answer

To find $a$ when $t = 0.41$ seconds, substitute $t = 0.41$ into the given equation: $a = 4 | \sec 2 \pi (0.41) |$. Calculate $2 \pi (0.41)$, find the secant of this value, take the absolute value, and then multiply by 4. The correct answer, rounded to the nearest hundredth, is approximately $4.74$ feet.

Solve Apps: Other Trigonometric Functions -A Rotating Beacon Is Located 4ft4 \mathrm { ft }4ft

Solve Apps: Other Trigonometric Functions
-A Rotating Beacon Is Located $4 \mathrm { ft }$