Question

Find PQ, if AB = 150 m, ∠P = 30° and ∠Q = 45°.

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Answer 1

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