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loser123456789Best ResponseYou've already chosen the best response.0
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
 one year ago

valentinekidBest ResponseYou've already chosen the best response.3
Trigonometric 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?)
 one year ago

valentinekidBest ResponseYou've already chosen the best response.3
Cos, 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: \[\cos(24)=\frac{11}{x}\]
 one year ago

valentinekidBest ResponseYou've already chosen the best response.3
then we solve for x, right?...
 one year ago

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

valentinekidBest ResponseYou've already chosen the best response.3
Yes, 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?
 one year ago

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

valentinekidBest ResponseYou've already chosen the best response.3
What should we divide by?
 one year ago

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

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

valentinekidBest ResponseYou've already chosen the best response.3
It's okay. What happens when we simplify that expression? Can we cancel anything out?
 one year ago

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

valentinekidBest ResponseYou've already chosen the best response.3
Mmhmm. 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)
 one year ago

valentinekidBest ResponseYou've already chosen the best response.3
Yeah, just post another question and tag me in a comment.
 one year ago

valentinekidBest ResponseYou've already chosen the best response.3
New question. Where it says "ask a question..."
 one year ago
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