Posted by **alth** on Monday, October 8, 2012 at 8:58am.

weather balloon is directly west of two observing stations that are 10 mi apart. The angles of elevation of the balloon from the two stations are 17.6 degrees and 78.2 degrees. How high is the balloon?

- trig -
**Reiny**, Monday, October 8, 2012 at 9:12am
Make the following diagram

Draw a base line , label the balloon as B and above the base line

Label the point directly below the balloon A on the base line

label the two stations as C and D so that

angle ACB = 78.2 and angle ADB = 17.6

Now in triangle BCD , CD = 10 ,

angle BCD = 101.8 , (exterior angle theorem)

and angle CBD = 60.6° (angle sum of triangle theorem)

Using the sine law BC/sin17.6 = 10/sin60.6

you can find BC, which is then the hypotenuse of

triangle ABC

then use

sin 78.2 = height/BC to find the height

## Answer This Question

## Related Questions

- algebra - A weather balloon is directly west of two observing stations that are ...
- Trig - From two different tracking stations, a weather balloon is spotted from ...
- trig - Two tracking stations are on the equator 135 miles apart. A weather ...
- Trigonometry - A balloon is flying west of two trigonometry students who are 7 ...
- Trig - A weather balloon is sighted between points A and B which are 5 miles ...
- Math - A hot air balloon is observed from two points A and B on the ground A and...
- Algebra-Trig Please Help ASAP - A balloon isin the vertical plane of two ...
- math - The angles of elevation of a balloon directly above a straight road, from...
- math - Two tracking stations 50 miles apart sight a weather ballon. The angle of...
- Trig - Two tracking stations are on the equator 161 miles apart. A weather ...

More Related Questions