SOLUTION: Emmanuel is flying a kite with a string 80 feet long. His brother, Jesse, is standing directly under the kite and is 50 feet away from Emmanuel. Jesse estimated the distance of the

Algebra ->  Triangles -> SOLUTION: Emmanuel is flying a kite with a string 80 feet long. His brother, Jesse, is standing directly under the kite and is 50 feet away from Emmanuel. Jesse estimated the distance of the      Log On


   

Question 1157672: Emmanuel is flying a kite with a string 80 feet long. His brother, Jesse, is standing directly under the kite and is 50 feet away from Emmanuel. Jesse estimated the distance of the kite above the ground at 30 feet. Emmanuel estimated approximately 60 feet. Which brother's estimation is correct?Emmanuel
Jesse
Justify your reasoning
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is a right triangle with the base 50 feet and the kite at the end of the 80 foot hypotenuse.
50^2+x^2=80^2, where x is the height of the kite
x^2=3900
x=62.45 feet, Emmanuel would be correct.

Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Right Triangle,
hypotenuse 80
horizontal leg 50
vertical leg, sqrt%2880%5E2-50%5E2%29
sqrt%286400-2500%29
sqrt%283900%29
10%2Asqrt%2839%29
62.4