Solve the Problem $50 \mathrm { ft }$ in Front and with a Range of Motion Of of a Home

question 260

Multiple Choice

Solve the problem.
-A sensor light installed on the edge of a home can detect motion for a distance of $50 \mathrm { ft }$ . in front and with a range of motion of $238 ^ { \circ }$ . Over what area will the sensor detect motion and become illuminated? Round to the nearest hundredth.

• A) \(5192.35 \mathrm { ft } ^ { 2 }\)
• B) \(10,384.81 \mathrm { ft } ^ { 2 }\)
• C) \(10,384.71 \mathrm { ft } ^ { 2 }\)
• D) \(5192.25 \mathrm { ft } ^ { 2 }\)

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