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OpenStudy (anonymous):
@jim_thompson5910 could you help with this possibly? :)
jimthompson5910 (jim_thompson5910):
All you're doing here is plugging theta = 25 into the function to find out how far the object is when the angle is 25 degrees
jimthompson5910 (jim_thompson5910):
The same is said about theta = 55
OpenStudy (anonymous):
So how would I write the function? @jim_thompson5910
jimthompson5910 (jim_thompson5910):
the function is already given
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jimthompson5910 (jim_thompson5910):
d = 94 sec θ
OpenStudy (anonymous):
Ahh okay. So d = 94 sec 25? I'm somewhat confused to write. @jim_thompson5910
jimthompson5910 (jim_thompson5910):
then you evaluate that
jimthompson5910 (jim_thompson5910):
keep in mind that sec(theta) = 1/cos(theta)
jimthompson5910 (jim_thompson5910):
so your function of
\[\Large d = 94\sec(\theta)\]
is equivalent to
\[\Large d = \frac{94}{\cos(\theta)}\]
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OpenStudy (anonymous):
Okay. Then I plug in the 25 by the cos?
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
When I enter 25 and cos I get 0.906. Is that right?
jimthompson5910 (jim_thompson5910):
\[\Large d = \frac{94}{\cos(\theta)}\]
\[\Large d = \frac{94}{\cos(25)}\]
\[\Large d = \frac{94}{0.906}\]
so far, so good
jimthompson5910 (jim_thompson5910):
94/0.906 = 103.752759381899
so if you were rounding to 3 places, it'd be 103.753
but you should type all of 94/cos(25) to make sure you don't get roundoff error
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jimthompson5910 (jim_thompson5910):
no once you're done evaluating, you can move onto plugging in theta = 55
OpenStudy (anonymous):
So there's more to do with 103.753?
jimthompson5910 (jim_thompson5910):
no that's the approximate distance d for theta = 25
OpenStudy (anonymous):
Look good?
jimthompson5910 (jim_thompson5910):
yes it does
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