Posted by **Haley** on Tuesday, November 6, 2012 at 2:21pm.

two observers 3 miles apart and facing each other find that the angles of the elevation of a balloon in the same vertical plane with themselves are 28degree and 31 degree respectively.find the distance from the balloon to the observer located at the 31 angle?

- pre-calc -
**Steve**, Tuesday, November 6, 2012 at 2:52pm
Label the observers A and B, with point C on the line AB, directly below the balloon, at point D.

If x is the distance CB, then since AC+CB=3,

(3-x)tan28° = xtan31°

x = 1.4 miles.

Now, you want the distance DB, which is

x/DB = cos31°

DB = x/cos31° = 1.4/.857 = 1.63 miles

## Answer this Question

## Related Questions

- Trigonometry - Two observers who are 2 miles apart on a horizontal plane observe...
- math - a hot-air balloon is seen in the sky simultaneously by two observers ...
- math - a hot-air balloon is seen in the sky simultaneously by two observers ...
- trigonometry - howard and keight who are 2km apart are on a horizontal plane ...
- trig - howard and keight who are 2km apart are on a horizontal plane observe a ...
- Math - TWO OBSERVERS, WHO ARE 2 MILES APART ON A HORIZONTAL PLANE, OBSERVE A ...
- Maths - Two observers P and Q 15m apart observe a kite in the same vertical ...
- Trigo - Two observers on opposite sides are 350m apart and are looking at a ...
- Trig - Two observers 1 km apart spot an airplane. The angles of elevation of the...
- math - Each of two observers 475 feet apart measures the angle of elevation to ...