Given the triangle below. find the angle 0. Give your answer in degrees rounded to the nearest tenth. Do not include the degree symbol in your 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 =

        =

        = 0.8

     θ =

     θ = 38.66

        ≈ 38.7°

Therefore, measure of angle θ is 38.7°.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!