Question

Given the triangle below. find the angle 0.

Answer 1

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 = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

        = $\frac{4}{5}$

        = 0.8

     θ = $\text{tan}^{-1}(0.8)$

     θ = 38.66

        ≈ 38.7°

Therefore, measure of angle θ is 38.7°.