Question

Finding the Width of a River Find the distance from A to

C across the river is illustrated in the figure.

Short answer

The Width of a River is$23.3ft$

Step-by-step solution

Step 1. Given information  

The given data from the picture,$$\begin{gathered} BC=b=50 \\ AC=p=? \\ B=25° \end{gathered}$$

Step 2. Find the length of AC

Using trigonometry we have$$\begin{gathered} \tan 25=\frac{p}{b} \\ \tan 25=\frac{AC}{BC} \\ \tan 25=\frac{AC}{50} \\ AC=50\tan 25 \\ AC=23.3ft \end{gathered}$$