Question

Find the distance from A to C across the gorge illustrated in the figure.

Short answer

The distance from A to C is$AC=70.020754ft$.

Step-by-step solution

Given Information

Given that the figure is

Solution

Suppose that the distance from A to C is $x$.

Now, from the figure BC is $100ft$and angle B is $35°$.

So, $\tan (35°)=\frac{AC}{BC}$

$$\begin{gathered} \tan (35°)\times BC=AC \\ x=100\times \tan (35°) \\ x=100\times (0.70020754) \\ x=70.020754ft \end{gathered}$$