adeline0353
adeline0353 adeline0353
  • 23-05-2021
  • Mathematics
contestada

Find the length of side x to the nearest tenth.

Find the length of side x to the nearest tenth class=

Respuesta :

Corsaquix
Corsaquix Corsaquix
  • 23-05-2021

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

In any right triangle, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse.

Therefore, we have the following equation:

[tex]\sin 30^{\circ}=\frac{9}{x},\\\frac{1}{2}=\frac{9}{x},\\x=9\cdot 2=\boxed{18}[/tex]

*Note that [tex]\sin 30^{\circ}=\frac{1}{2}[/tex]

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