Mathematics
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OpenStudy (clamin):
An air force pilot must descend 1500 feet over a distance of 9000 feet to land smoothly on an aircraft carrier. What is the plane's angle of descent?
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OpenStudy (crashonce):
|dw:1428634375833:dw|
OpenStudy (crashonce):
using the tan formula, tan angle = 1500/9000 solve from here please
OpenStudy (kittiwitti1):
Let's name this angle X.\[\angle X=\tan^{-1}{\frac{1500}{900}}\]
OpenStudy (crashonce):
@clamin
OpenStudy (kittiwitti1):
Oh, there was another solution up... sorry, didn't notice that.
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OpenStudy (clamin):
i got .167
OpenStudy (crashonce):
in degrees?
OpenStudy (crashonce):
you should get about 59 degrees
OpenStudy (clamin):
you saaid 1500/9000
OpenStudy (kittiwitti1):
Wait, did you use my formula or Crash's solution -
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OpenStudy (kittiwitti1):
Yeah, you have to continue on with the arctan.
OpenStudy (crashonce):
the methods are the same
OpenStudy (clamin):
idk how u got 59
OpenStudy (crashonce):
maybe u were in radians
change it to degrees
OpenStudy (clamin):
i did
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OpenStudy (kittiwitti1):
Don't you have to arctan the tan fraction to get the degrees?
OpenStudy (crashonce):
you have to use inverse tan, not tan
OpenStudy (kittiwitti1):
That's what I said ._.;
Unless arctan doesn't mean inv tan. *googles*
OpenStudy (kittiwitti1):
Yup, arctan is inv tan.
OpenStudy (clamin):
i know how you got 59..you divide 1500/900 instead of 1500/9000
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OpenStudy (kittiwitti1):
I got 9.46, and I double-checked to see that I'm in degree mode ._.;
OpenStudy (crashonce):
woops my bad
OpenStudy (kittiwitti1):
I just found an answer key and it says the answer's 9.5 degrees...
OpenStudy (anonymous):
1500/9000=0.1667
take atan(0.1667)=9.4 deg
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OpenStudy (kittiwitti1):
9.5.\[\tan^{-1}\frac{1500}{9000}=9.462322208\approx 9.5\]
OpenStudy (anonymous):
.165 rad
OpenStudy (kittiwitti1):
^ yes.
OpenStudy (kittiwitti1):
Don't forget to close the question if you don't need anymore help :)