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Two spotlights, P and Q are mounted on a...

Two spotlights, P and Q are mounted on a verticl pole AB as shown.
Light beams from P and Q shine to two points on the ground,
H and K respectively, given that PQ = 16 m, KB = 16 m
PH = 35 m and QK = 20m find

BQ, the height above the ground at which the spotlight Q is mounted.

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Two spotlights, P and Q are mounted on a vertical pole AB as shown. Light beams from P and Q shine to two points on the ground, H and K, respectively. Given that PQ = 16m, KB = 16m, PH = 35m and QK = 20m, Find: HK, the distance between the projections of the light beams.

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