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Find Angle 'X' If : - Mathematics

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Question

Find angle 'x' if :

Sum

Solution

The above figure we have

tan 60° = `(30)/"AD"`

`sqrt(3) = (30)/"AD"`

AD = `(30)/(sqrt(3)`

Again

sin x = `"AD"/(20)`
AD = 20 sin x

Now

20 sin x = `(30)/sqrt(3)`

sin x = `(30)/(20sqrt(3)`

sin x = `sqrt(3)/(2)`

sin x = sin 60°
x = 60°

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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 303]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 24 Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
Exercise 24 | Q 3 | Page 303
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