Asked by luis
bystander at the Pegasus Parade, is lying on his back and observing a large balloon of a cartoon character, floating directly above Broadway Street. He is located 32 feet from a point on the street directly beneath the balloon. To see the top of the balloon, he looks up at an angle of 56°. To see the bottom of the balloon, he looks up at an angle of 46°. To the nearest tenth, how tall, in feet, is the balloon?
any answers on how to set this up
any answers on how to set this up
Answers
Answered by
Steve
Draw a diagram. If the bottom of the balloon is at height x and the top of the balloon is at height y, then
x/32 = tan46°
y/32 = tan56°
The height of the balloon is just y-x, or
32tan56° - 32tan46° = 32(tan56°-tan46°)
x/32 = tan46°
y/32 = tan56°
The height of the balloon is just y-x, or
32tan56° - 32tan46° = 32(tan56°-tan46°)
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