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In the adjoining figure, ABC is a right angled triangle right angled at B; AB = 24 cm and BC = 7 cm. Using the figure answer the question.

In the figure, ABC is a right angled triangle right angled at B; AB = 24 cm and BC = 7 cm. The value of sin A is? Trigonometrical Ratios, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

The value of sin A is

  1. 724\dfrac{7}{24}

  2. 725\dfrac{7}{25}

  3. 257\dfrac{25}{7}

  4. 2425\dfrac{24}{25}

Trigonometrical Ratios

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Answer

In right angled triangle ABC,

⇒ AC2 = AB2 + BC2

⇒ AC2 = (24)2 + (7)2

⇒ AC2 = 576 + 49

⇒ AC2 = 625

⇒ AC = 625\sqrt{625} = 25 cm.

By formula,

sin A = PerpendicularHypotenuse\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}

= BCAC=725\dfrac{BC}{AC} = \dfrac{7}{25}.

Hence, Option 2 is the correct option.

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