Question

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

Answer 1

Answer:

θ ≈ 40°

Step-by-step 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 = $\frac{19}{23}$

θ = $\text{tan}^{-1}(\frac{19}{23})$

θ = 39.56

θ ≈ 40°