The value of w = 17.94 and x =22.4
A right-angled triangle is one in which one of the angles is equal to 90 degrees. The sum of the other two angles is 90 degrees.
Perpendicular and the base of the triangle are the sides that include the right angle. The hypotenuse, which is the longest of all three sides, is the third side.
In the given figure , Considering two right angle triangle
base₁ = w+x
base₂ = w
height = 14
[tex]\rm tan \theta = \dfrac{perpendicular}{base}[/tex]
tan 38° = 14/w
w = 14/tan 38°
w = 14/0.78
w= 17.94
tan 19° = 14/(w+x)
w+x = 14/tan 19°
w+x = 14/0.344
w+x = 40.697
Therefore x = 40.697-17.94
x= 22.8
The value of w = 17.94 and x =22.4.
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