Question

3. A fire truck is parked twelve feet

Answer 1

Answer: 9.04 feet

Step-by-step explanation:

First, it is important to draw a Right triangle, as the one attached, where "x" represents the height in feet from the ground in which the fire is burning.

In this case you need to use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You can identify that:

$\alpha=37\°\\\\ opposite=x\\\\adjacent=12$

Therefore, you can substitute values into $tan\alpha =\frac{opposite}{adjacent}$:

$tan(37\°)=\frac{x}{12}$

Finally, you must solve for "x" in order to find its value. You get that this is:

$12*tan(37\°)=x\\\\x=9.04$