Mathematics: 3. A fire truck is parked twelve feet from a burning building. If the fire hose is aimed at a 37 degree angle to reach a fire, how far off the ground is the fire burning?

3. A fire truck is parked twelve feet from a burning

Ответ:

rodriguezbrian050702

21.01.2022

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:

$12*tan(37\°)=x\\\\x=9.04$

3. A fire truck is parked twelve feet from a burning building. If the fire hose is aimed at a 37 deg

0,0(0 оценок)

3. A fire truck is parked twelve feet
from a burning building. If the fire
hose is aimed at a 37 degree angle to
reach a fire, how far off the ground is
the fire burning?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question