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Selina Solutions Class 9 Mathematics Solutions for Exercise 24 in Chapter 24 - Chapter 24- Solution Of Right Triangles

Question 1 Exercise 24
  1. Find 'x' if:

(i)

Question 1 Image - Selina Solutions CONCISE Maths - Class 9 ICSE chapter Chapter 24- Solution Of Right Triangles

(ii)

Question 1 Image - Selina Solutions CONCISE Maths - Class 9 ICSE chapter Chapter 24- Solution Of Right Triangles

(iii)

Question 1 Image - Selina Solutions CONCISE Maths - Class 9 ICSE chapter Chapter 24- Solution Of Right Triangles

Answer:

(i)

\begin{aligned} \sin 60^{\circ} &=\frac{20}{x} \\ \frac{\sqrt{3}}{2} &=\frac{20}{x} \\ x &=\frac{40}{\sqrt{3}} \end{aligned}

(ii)

\begin{aligned} \tan 30^{\circ} &=\frac{20}{x} \\ \frac{1}{\sqrt{3}} &=\frac{20}{x} \\ x &=20 \sqrt{3} \end{aligned}

(iii)

\begin{aligned} \sin 45^{\circ} &=\frac{20}{x} \\ \frac{1}{\sqrt{2}} &=\frac{20}{x} \\ x &=20 \sqrt{2} \end{aligned}

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