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Mathematics, 16.12.2020 06:40 laura52677

Ollie has installed security lights on the side of his house that are activated by a sensor. The sensor is located at point C directly above point D. The area sobered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m and the distance from B to C is 6 m. Angle ACB is 15°. Point B on the ground is 5 m from point E at the entrance to Ollie’s house. He is 1.8 m tall and is standing at point D, below the sensor. He walks towards point B.

Find the distance Ollie is from the entrance to his house when he first activates the sensor.

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