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

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प्रश्न

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

.

योग

उत्तर

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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Solution of Right Triangles
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 24: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle] - Exercise 24 [पृष्ठ ३०४]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 24 Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
Exercise 24 | Q 18.2 | पृष्ठ ३०४
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