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loser123456789
 2 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.

valentinekid
 2 years ago
Best ResponseYou've already chosen the best response.3Trigonometric 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?)

valentinekid
 2 years ago
Best ResponseYou've already chosen the best response.3Cos, 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: \[\cos(24)=\frac{11}{x}\]

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

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

valentinekid
 2 years ago
Best ResponseYou've already chosen the best response.3Yes, 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?

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

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

valentinekid
 2 years ago
Best ResponseYou've already chosen the best response.324 is a part of the cos function, so they're tied together. Divide by cos(24) and what do you end up with?

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

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

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

valentinekid
 2 years ago
Best ResponseYou've already chosen the best response.3Mmhmm. 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)

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

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