Respuesta :

Answer:

y ≈ 13.5

Step-by-step explanation:

In the given right triangle we have to find the measure of unknown side 'y'.

Since, measure of opposite side and adjacent side of the angle measuring 74° have been given,

We will use tangent ratio for the given angle.

tan(74°) = [tex]\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}[/tex]

tan(74°) = [tex]\frac{47}{y}[/tex]

y = [tex]\frac{47}{\text{tan}(74^{\circ})}[/tex]

y = 13.48

y ≈ 13.5 units