SOLUTION: two children on opposite sides of a playground 150 m wide notice a ufo overhead. if the angle of inclination from the first child to the ufo is 33 degrees while the angle of inclin

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Question 1159615: two children on opposite sides of a playground 150 m wide notice a ufo overhead. if the angle of inclination from the first child to the ufo is 33 degrees while the angle of inclination from the second child to the ufo is 25 degrees what is the ufo height above the ground
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39617) About Me  (Show Source):
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Split the 150 m length into x and 150-x.
The child at the 33 degree angle length x away from point directly under ufo at the ground.
y, the height of the ufo.

system%28y%2F%28150-x%29=tan%2825%29%2Cy%2Fx=tan%2833%29%29---------solve for y.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
two children on opposite sides of a playground 150 m wide notice a ufo overhead. if the angle of inclination from the first child to the ufo is 33 degrees while the angle of inclination from the second child to the ufo is 25 degrees what is the ufo height above the ground
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There are 2 possible solutions:
The UFO can be either above the playground, making a triangle with angles of 33, 25 and 122 degrees if the 2 kids are facing each other, or
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it can be to one side of it, making a triangle with angles of 33, 155, and 2 degrees, if the 2 kids are facing the same direction.