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Question
Find PQ, if AB = 150 m, ∠ P = 30° and ∠ Q = 45°.
Sum
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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 = 409.80 m
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Solution of Right Triangles
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Chapter 22: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle] - TEST YOURSELF [Page 344]
