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In Right-angled Triangle Abc; B = 90°. Find the Magnitude of Angle A, If: Bc is Sqrt(3) Times of Ab. - Mathematics

Sum

In right-angled triangle ABC; ∠ B = 90°. Find the magnitude of angle A, if:
BC is `sqrt(3)` times of AB.

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Solution

Consider the figure


Again from the figure

`"BC"/"AB" = sqrt(3)`

tan θ = `sqrt(3)`

tan θ = tan 60°

θ = 60°

Therefore, magnitude of angle A is 30°

Concept: Solution of Right Triangles
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 24 Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
Exercise 24 | Q 14.2 | Page 304
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