Calculate the length of side X in the right triangle below
1) Since we know 2 sides and 1 angle of this triangle, we can use either the pythagorean theorm ( by making use of the two sides ) or use sohcahto (by making use of the angle and 1 of the given sides)
2) Chose which way you want to solve this problem. There are several different solutions. The only thing you cannot use is sine, since the sine ratio does not involve the adjacent side, x, which we are trying to find.
A² + B² = C²
The answers are slightly different (tangent s 35.34 vs 36 for the others) due to rounding issues. I rounded the angle's measure to 23° for the sake of simplicity of the diagram. A more accurate angle measure would have been 22.61986495°. If you use tha value instead of 23°, you will get answers that are more consistent..