Question

Find the measure of the indicated angle to the nearest degree. Thanks.

Answer 1

θ ≈ 40°

Explanation:

Since, sinθ =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

cosθ =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

tanθ =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

tanθ =
`(19)/(23)`

θ =
`\text{tan}^(-1)((19)/(23))`

θ = 39.56

θ ≈ 40°