Question

use the diagram below to find the distance across the river. round your answer to one decimal place.

x=

Explanation:

Step1: Identify tangent ratio

$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{x}{22}$ where $\theta = 28^\circ$

Step2: Rearrange to solve for $x$

$x = 22\times\tan(28^\circ)$

Step3: Calculate and round

$x = 22\times0.5317 = 11.6974$

Answer:

$11.7$ ft