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anonymous
 3 years ago
I am really stuck someone help
anonymous
 3 years ago
I am really stuck someone help

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Trigonometric functions are Sin, Cos, and Tan defined as: Sin=opposite/hypotenuse Cos=adjacent/hypotenuse Tan=opposite/adjacent Which of these three is best suited for the diagram? (which pieces do you know?)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Cos, because we know the length of the leg adjacent to our angle(11) and we want to find the hypotenuse. So to solve this we setup the problem as follows: \[\cos(24)=\frac{11}{x}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then we solve for x, right?...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yeah, we move x over to the other side by multiplying both sides by x. What happens when you evaluate: \[x(\cos(24))=(\frac{11}{x})*x\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, but be careful when multiplying trig functions. cos(24x) is very different from cos(24)*x or x*cos(24). So we have x*cos(24)=11. How do we get x by itself?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Multiply what by both sides? we have \[x*\cos(24)=11\] How do get x by itself?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0What should we divide by?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.024 is a part of the cos function, so they're tied together. Divide by cos(24) and what do you end up with?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Not quite. \[\frac{1}{\cos(24)}*x*\cos(24)=11*\frac{1}{\cos(24)}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It's okay. What happens when we simplify that expression? Can we cancel anything out?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes! Exactly. The cos(24) cancels out on the left leaving us with x=11/cos(24).

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Mmhmm. If you're allowed a calculator or you're asked to give an actual number, just evaluate in your calculator and you get 12.04, rounded. If you're just asked to find x, I would say leave it exact in the form of 11/cos(24)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yeah, just post another question and tag me in a comment.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0New question. Where it says "ask a question..."
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