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