Question

find y.
round to the nearest tenth:
350 ft
y = ?ft

Explanation:

Step1: Determine the trigonometric ratio

Since we know the opposite side (\(350\) ft) and need to find the adjacent side (\(y\)) with respect to the \(28^{\circ}\) angle, we use the tangent ratio. The formula for tangent is \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). So, \(\tan(28^{\circ})=\frac{350}{y}\).

Step2: Solve for \(y\)

Rearrange the equation \(\tan(28^{\circ})=\frac{350}{y}\) to get \(y = \frac{350}{\tan(28^{\circ})}\).
We know that \(\tan(28^{\circ})\approx0.5317\). Then \(y=\frac{350}{0.5317}\approx658.3\).

Answer:

\(658.3\)