Keywords:
triangle rectangle, angle, side, variable, trigonometry
For this case we have a rectangle triangle in which we must find the value of the variable x, given an angle and the value of one side. For this we must apply trigonometry. By definition we have to:
\(Tangent \ (\alpha) = \frac {leg \ opposite \ to \ angle \\ alpha} {leg \ adjacent \ to \ angle \ alpha}\)
Having said that, we have to:
\(Tangent \ (42) = \frac {x} {35}\)
Clearing x we have:
\(Tangent \ (42) * 35 = x\\x = 35 * 0.90\\x = 31.51\)
Thus, the value of the triangle side represented by x is 31.51
Answer:
In the triangle, \(x = 31.51\)
