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Mathematics 7 Online
OpenStudy (anonymous):

thank you

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

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 \[\Large d = \frac{94}{\cos(\theta)}\]

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

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

jimthompson5910 (jim_thompson5910):

nice work

OpenStudy (anonymous):

Thanks for the help!

jimthompson5910 (jim_thompson5910):

you're welcome

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