Find PQ, if AB = 150 m, &ang; P = 30° and &ang; Q = 45°.

Find Pq, If Ab = 150 M, ∠P = 30o and ∠Q = 45°. - Mathematics

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

Sum

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 24: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle] - Exercise 24 [Page 304]

Chapter 24 Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
Exercise 24 | Q 18.1 | Page 304