Posted by **Johnny** on Tuesday, January 8, 2008 at 8:26pm.

From the top of a 40m fire tower, a fire ranger observes smoke in tower

locations. One has a an angle of depression of 10o, and the

other has an angle of depression of 7o. Calculate the

distance between the smoke sightings when they are

a.) on opposite sides of the tower and in line with the tower.

b.) in perpendicular directions from the tower.

- Math! -
**drwls**, Tuesday, January 8, 2008 at 8:44pm
a) The distance to each fire is

X = 40/tan A where A is the depression angle. That would be 325.8 m for one fiore and 226.9 m for the other. If they are in opposite directions along the same line, add the two for their distance apart.

b) If the directions to the two fires are at right angles as seen from the tower, calculate the hypotenuse of the triangle (fire1, fire2 and tower) to get the distance between the fires.

- Math! -
**Johnny**, Tuesday, January 8, 2008 at 8:45pm
thank you!

## Answer this Question

## Related Questions

- Trig - Bob the ranger is atop a fire tower that i son the side of a mountain.The...
- analytic geometry - A forest ranger in a 120ft observation tower sees a fire. ...
- Geometry Part 2 - A forest ranger spots a fire from a 28- foot tower.The angle ...
- Algebra - A ranger spots a forest fire while on a 45-meter observation tower. ...
- geometry - a forest ranger spots a fire from 28-foot tower. the angle of ...
- Math - A forest ranger in a 140-foot observation tower sees a fire moving in a ...
- Functions - Two forest fire towers, A and B, are 20.3 km apart. From tower A, ...
- Math - Two fire towers, A and B, are 20.3 km apart. From tower A, the bearing of...
- Math - The angle of depression from a water tower to a forest fire underneath ...
- Math - Forest rangers use degree measure to identify directions and locate ...