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