Solve the Problem $\mathrm { d }$ From a Long Wall $\mathrm { d }$

Solve the problem.
-A rotating beacon is located a distance $\mathrm { d }$ from a long wall. The distance $\mathrm { d }$ is given by $\mathrm { d } = 8$ tan $2 \pi \mathrm { t }$ , where $t$ is the time measured in seconds since the beacon started rotating. Solve the equation for $t .$

A) $t = \frac { 1 } { 2 \pi } \arctan \frac { d } { 8 }$
B) $t = 2 \pi \arctan \frac { d } { 8 }$
C) $t = 2 \pi \tan \frac { d } { 8 }$
D) $t = \frac { 1 } { 2 \pi } \tan \frac { d } { 8 }$

Correct Answer:

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