SOLUTION: Two planes take off at a ny airport. The first plane climbs at an angle of 45 degrees with respect to the ground and reaches an altitude of 5600 feet. The second plane climbs at an

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Question 872234: Two planes take off at a ny airport. The first plane climbs at an angle of 45 degrees with respect to the ground and reaches an altitude of 5600 feet. The second plane climbs at an angle of 60 degress with respect to the ground and reaches an altitude of 8200 feet. To the nearest foot, which plane covers a longer gorund distance?
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two planes take off at a ny airport.
The first plane climbs at an angle of 45 degrees with respect to the ground and reaches an altitude of 5600 feet.
The second plane climbs at an angle of 60 degrees with respect to the ground and reaches an altitude of 8200 feet.
To the nearest foot, which plane covers a longer ground distance?
:
We can use the tangents of the angles, where side opposites is the alt
and side adjacent (sa) is the ground distance.
:
Tan(45) = 5600%2F%28sa%29
sa = 5600%2Ftan%2845%29
sa = 5600
:
Tan(60) = 8200%2F%28sa%29
sa = 8200%2Ftan%2860%29
sa = 4734

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Which is greater? makes sense.
The "to the nearest foot" makes no sense.