Answer:
Measure of angle θ = 38.7°
Step-by-step explanation:
In the figure attached,
Given triangle has the measure of two legs = 5 units and 4 units
Measure of one angle = θ
By applying tangent rule in the given triangle,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{4}{5}[/tex]
= 0.8
θ = [tex]\text{tan}^{-1}(0.8)[/tex]
θ = 38.66
≈ 38.7°
Therefore, measure of angle θ is 38.7°.
