SOLUTION: Two wires tethered a balloon to the ground (a) 85 degrees and (b) 75 degrees. How high is the balloon above the ground if the length of (a) to (b) is 100 meters?

Question 1114275: Two wires tethered a balloon to the ground (a) 85 degrees and (b) 75 degrees. How high is the balloon above the ground if the length of (a) to (b) is 100 meters?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Draw picture.
Two right triangles which share the same height (leg).

x, bottom left leg from a
100-x, bottom right leg from b
y, the height of balloon

.
.
RELATED QUESTIONS
A hot air balloon is floating above a straight road. To estimate their height above the... (answered by mananth)

a hot air balloon is floating above a straight road. To estimate their height above the... (answered by lynnlo)

an observer is lying on the ground 200 feet from the spot directly below the balloon... (answered by macston)

A hot air balloon is seen over Seven Springs simultaneously by two observers standing at... (answered by josmiceli)

A hot-air balloon is floating above a straight road. To estimate their height above the... (answered by Alan3354)

A meteorlogist measures the angle of elevation of a weather balloon as 41 degrees. A... (answered by ewatrrr)

from a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72... (answered by math_tutor2020)

A balloon on the end of a string is being blown by the wind. If the balloon is 31.75... (answered by josgarithmetic,Alan3354)

two observers, 215 ft apart, are directly in line with a hot-air balloon. The angeles of (answered by Paul)