anonymous
  • anonymous
Two birds sit at the top of two different trees 57.4 feet away from one another. The distance between the second bird and a bird watcher on the ground is 49.6 feet. What is the angle measure, or angle of depression, between the first bird and the bird watcher? Two trees that are 49 point 6 feet tall with a bird on top of each. Distance between the birds is 57 point 4 feet. Angle of depression between birdwatcher and first bird is unknown.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
anonymous
  • anonymous
hi

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DanJS
  • DanJS
hi
DanJS
  • DanJS
are you familiar with sin cos and tangent
anonymous
  • anonymous
well im a failure at it
anonymous
  • anonymous
i know the 3 but im bad at the formulas and calculating
DanJS
  • DanJS
sin = opp/hyp cos = adjacent / hypotenuse tan = opposite / adjacent
DanJS
  • DanJS
which one do you think is the best here?
anonymous
  • anonymous
tangent?
DanJS
  • DanJS
yes. the tangent of an angle in a right triangle is the ratio of the side opposite that angle over the adjacent side
DanJS
  • DanJS
\[\tan(\theta) = \frac{ 49.6 }{ 57.4 }\]
DanJS
  • DanJS
\[\tan^{-1}[\tan(\theta)] = \theta =\tan^{-1}\frac{ 49.6 }{ 57.4 }\]
DanJS
  • DanJS
you can use a calculator right? make sure it is in degree mode, not radians
anonymous
  • anonymous
yes
DanJS
  • DanJS
what you get for the angle theta
anonymous
  • anonymous
wait a sec
anonymous
  • anonymous
darn my calc doesn't do sin cos and tan
DanJS
  • DanJS
haha, you prolly should get one for that class
anonymous
  • anonymous
yea my mom said she's gonna buy me a 80$ calc just for math
DanJS
  • DanJS
just open the windows calculator in accessories and put into scientific modeq
anonymous
  • anonymous
i hav a mac
DanJS
  • DanJS
ok well it is just calculator work, you would take the arctangent of that number, it is near 40 degrees
DanJS
  • DanJS
you understand the trig functions though?
anonymous
  • anonymous
wait arctan of what number?
DanJS
  • DanJS
the tangent is the opposite side the angle over the hypotenuse, then i just took the arctangent of both sides
anonymous
  • anonymous
it gave me 40.83067315
DanJS
  • DanJS
\[\tan^{-1}[\tan(\theta)] = \theta =\tan^{-1}\frac{ 49.6 }{ 57.4 } \approx 40~degrees\]
DanJS
  • DanJS
that is right
anonymous
  • anonymous
what do i do now?
anonymous
  • anonymous
is that the final answer?
DanJS
  • DanJS
i have to run sorry, look up tangent and arctangent, the anser is what you said... gl
anonymous
  • anonymous
tnx dude u rock
anonymous
  • anonymous
*thnx
anonymous
  • anonymous
:D

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