The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees
4a) Given the following
Opposite side = 38cm (side facing the given angle)
Required
Adjacent and hypotenuse side
According to SOH CAH TOA
[tex]tan \theta = \frac{opp}{hyp}\\tan 32=\frac{38}{hyp}\\hyp=\frac{38}{tan 32}\\hyp=\frac{38}{0.6249}\\hyp= 60.81cm[/tex]
Next is to get the adjacent
[tex]Cos 32=\frac{adj}{60.81}\\adj=60.81cos32\\adj=60.81(0.8480)\\adj= 51.57cm[/tex]
Next is to get the missing angle
Since sum of angle in the triangle is 180degrees
32 + 90 + x = 180
122 + x = 180
x = 180 - 122
x = 58degrees
The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees.
Learn more about the properties of triangles here: https://brainly.com/question/16908652
