Question

Find the value for the side marked below.

Round your answer to the nearest tenth.
47
у
74°
y = [?]

Answer 1

y ≈ 13.5

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°) =
`\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}`

tan(74°) =
`(47)/(y)`

y =
`\frac{47}{\text{tan}(74^(\circ))}`

y = 13.48

y ≈ 13.5 units