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Question
Find PQ, if AB = 150 m, ∠P = 30° and ∠Q = 45°.
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Solution
From ΔAPB
tan 30° = `"AB"/"PB"`
`(1)/sqrt(3) = (150)/"PB"`
PB = `150sqrt(3)`
PB = 259.80 m
Also, from ΔABQ
tan 45° = `"AB"/"BQ"`
1 = `(150)/"BQ"`
BQ = 150 m
Therefore,
PQ = PB - BQ
PQ = 259.80 - 150
PQ = 109.80 m
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