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Mathematics

The value of angle A is :

The value of angle A is : Solution of Right Triangles, Concise Mathematics Solutions ICSE Class 9.

  1. 45°

  2. 30°

  3. 60°

  4. none of these

Trigonometric Identities

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Answer

From figure,

AB = BC ………………..(1)

By formula,

tan θ = PerpendicularBase\dfrac{\text{Perpendicular}}{\text{Base}}

From figure,

⇒ tan A = BCAB\dfrac{BC}{AB}

⇒ tan A = ABAB\dfrac{AB}{AB} [from equation (1)]

⇒ tan A = 1

⇒ tan A = tan 45°

⇒ A = 45°.

Hence, option 1 is the correct option.

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