Help with a trig problem
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Help with a trig problem

[From: ] [author: ] [Date: 13-03-22] [Hit: ]
its easier to use the fact that if one acute angle is 82 degrees, the other is 8 degrees, so use tan 8 degrees = x/15, and multiply by 15 to get x = 15*tan8degrees = 15* 0.14054........
So we just started trig in geometry and I need some help understanding how to solve problems like this one:
So we have a right triangle with an angle of 82 degrees, an opposite side of 15, and an adjacent side of X. We are trying to find the tan(82) but I'm having trouble solving it not setting it up. If you could also explain how to enter this in a calculator that would help. Thank you!

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You will know that tan 82 degrees = OPP/ADJ ? So tan 82 degrees = 15/x; in fact, it's easier to use the fact that if one acute angle is 82 degrees, the other is 8 degrees, so use tan 8 degrees = x/15, and multiply by 15 to get x = 15*tan8degrees = 15* 0.14054.... so x = 2.108... or probably they would want 2.11 or even just 2.1 (the accuracy depends very much on the context of the problem)
If you continue with the original version, 15/x = tan 82 degrees; multiply by x and divide by tan 82 degrees, and you will get exactly the same answer. A word of caution, however, which I'm sure your teacher will already have given you. If you start getting some funny answers (I mean funny peculiar, not funny ha ha !) check your calculator is in Degree mode. There are another two ways of measuring angles - Radians and Grads - I'm not even going anywhere near them - just make sure (every time you use it) that your calculator is in Degree Mode.

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calculator in degree mode , tan(82) = 7.16
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