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#1 Re: Help Me ! » Help With Problem » 2022-02-25 13:17:41

Sorry I can only answer your first problem.

We can imagine a right triangle with right angle 'O'. The problem tells us that line 'OM' is 8. It also says that tan M = 5/4. Tangent is opposite/adjacent. The opposite, which is 'NO' is unknown, so we let that be 'X'. Adjacent, which is 'OM' we already know is 8. Now, we see that 5/4 = X/8. 4*2=8, therefore 'X' (or 'NO') = 10. Now that we know the other two sides of the triangle, we can use the Pythagorean Theorem to find that 'MN' = 2* sqrt(41).

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