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Mathematics 17 Online
OpenStudy (anonymous):

How do you find x? Picture attached vvv

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

are you familiar with the trig functions sine, cosine and tangent?

OpenStudy (anonymous):

only a small bit, they confuse me still a lot

jimthompson5910 (jim_thompson5910):

basically, the trig functions can be used to determine a missing side length of a triangle if you know the angle and another side length

OpenStudy (anonymous):

how am I able to do that?

jimthompson5910 (jim_thompson5910):

So for example, in # 4, we use the trig function tangent tan(angle) = opposite/adjacent tan(25) = 7/x x*tan(25) = 7 x = 7/tan(25) x = 7/0.4663076581 ... use a calculator to find tan(25) x = 15.0115484453 x = 15.0 ... Round tot he nearest tenth So the answer for # 4 is 15.0 Note: it's 15.0 and NOT 15 since the first suggests that you rounded to the nearest tenth and not whole number

jimthompson5910 (jim_thompson5910):

The general equations are sin(angle) = opposite/hypotenuse cos(angle) = adjacent/hypotenuse tan(angle) = opposite/adjacent

OpenStudy (anonymous):

ohhhhhh that makes a lot more sense, and I use that equation on all other problems?

jimthompson5910 (jim_thompson5910):

you use one of the three i posted above, the one you choose depends on which segments of the triangle you are working with basically, you won't be using that tan equation all the time

jimthompson5910 (jim_thompson5910):

ex: if you have a known adjacent side and an unknown hypotenuse (with known angle), then you use the cosine formula

OpenStudy (anonymous):

ohhhhhh alright i think I understand now

jimthompson5910 (jim_thompson5910):

that's great :)

jimthompson5910 (jim_thompson5910):

I'm glad things are making sense

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