Answer:
w = 9.82
x = 66.73
Step-by-step explanation:
By applying tangent rule in triangle ABD,
tan(81°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
6.31 = [tex]\frac{62}{w}[/tex]
w = [tex]\frac{62}{6.31}[/tex]
w = 9.82
Similarly,
tan(39°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
0.81 = [tex]\frac{62}{(x+w)}[/tex]
0.81 = [tex]\frac{62}{9.83+x}[/tex]
9.82 + x = [tex]\frac{62}{0.81}[/tex]
x = 76.56 - 9.82
x = 66.74
