Question

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.​

Answer 1

Measure of angle θ = 38.7°

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}}`

=
`(4)/(5)`

= 0.8

θ =
`\text{tan}^(-1)(0.8)`

θ = 38.66

≈ 38.7°

Therefore, measure of angle θ is 38.7°.