trig
posted by alth .
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?

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
Respond to this Question
Similar Questions

Trig
From two different tracking stations, a weather balloon is spotted from two angles of elevation, 57degrees and 83 degrees, respectively. The tracking stations are 15 km apart. Find that altitude of the balloon. Any help given will … 
AlgebraTrig Please Help ASAP
A balloon isin the vertical plane of two consecutive milestones of a road. The angles of depression of the stones as viewed from the balloon are 15 degrees and 17 degrees. Find the height of the balloon if (a) the stones are on opposite … 
algebra
A weather balloon is directly west of two observing stations that are 10 miles 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? 
Math
A hot air balloon is observed from two points A and B on the ground A and B are 800 feet apart the balloon is east of both points the angle of elevation from A to the balloon is 37 degrees and the angle of elevation from B is 65 degrees … 
trig
Two tracking stations are on the equator 135 miles apart. A weather balloon is located on a bearing of N 37 degrees E from the weastern station and on a bearing of N 19 degrees E from the eastern station. How far is the balloon from … 
Trig
A weather balloon is sighted between points A and B which are 5 miles apart on level ground. The angle of elevation of the balloon from A is 37 degrees and it's angle of elevation from B is 58 degrees. Find the height, in feet, of … 
math
Two tracking stations 50 miles apart sight a weather ballon. The angle of the ballon from one of the stations is 45° and from the other is 60°. What is height of the balloon? 
Trigonometry
A balloon is flying west of two trigonometry students who are 7 miles apart. The angles of elevation of the two students to the balloon are 15 and 28 degrees. Approximate how high the balloon is flying. 
Trig
Two tracking stations are on the equator 161 miles apart. A weather balloon is located on a bearing of N 32°E from the western station and on a bearing of N 16°E from the eastern station. How far is the balloon from the western station? 
math
The angles of elevation of a balloon directly above a straight road, from two points of the ground on opposite sides of the balloon, are 78¡ã15' and 59¡ã47'. If the points are 5000ft apart, what is the height of the balloon?