Respuesta :

Answer:

x = 6.8829

Step-by-step explanation:

[tex]\frac{sin\left(35\right)}{x}=\frac{sin\left(90\right)}{12}[/tex]

Answer:

x ≈ 6.8

Step-by-step explanation:

Label each side of the triangle with "a" (adjacent), "o" (opposite), or "h" (hypotenuse).

Side x is the opposite, side 12 is the hypotenuse, and the other side is the adjacent.

Use SOH-CAH-TOA to find the missing side (Sin, Cos, Tan).

To find x, we need to use SOH or Sin(a)= O/H

Plug in the adjacent angle for a and 12 for h then solve:

Sin(35)=O/12

The calculator approximation of Sin(35) is 0.5735.

0.5735  ≈ O/12

Multiply both sides by 12:

12 * 0.5735  ≈ O/12 * 12

O ≈ 6.882

Round to nearest tenth:

O ≈ 6.8

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