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
