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Answer:

x = 34.8689

Step-by-step explanation:

Use trigonometric formulae for a right triangle to compute x

In a right triangle the following trigonometric ratios hold

If [tex]\theta[/tex] is one of the smaller angles of the right triangle then
[tex]\sin \theta = \dfrac{\text{side opposite $\theta$}}{\text{hypotenuse}}[/tex]

For the angle of 35°, the side opposite is 20 cm

So

[tex]\sin 35^\circ} = \dfrac{20}{x}[/tex]

Cross-multiplying:

[tex]x = \dfrac{20}{\sin 35}[/tex]

x = 34.8689

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