anonymous
  • anonymous
PLEASE HELP! The picture shows a triangular island: A right triangle is shown with an acute angle equal to 65 degrees. The length of the side of the triangle opposite to the acute angle is f. The length of the side of the triangle adjacent to the acute angle is d. The length of the hypotenuse is e. Which expression shows the value of e? f sin 65° f cos 65° d over cos 65 degrees d over sin 65 degrees
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
@Directrix
Directrix
  • Directrix
Do you know the right triangle trig ratios? |dw:1446264598621:dw|

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Directrix
  • Directrix
Here's a memory refresher.
anonymous
  • anonymous
im not sure.. i moved to a new school so i havnt really learned this yet..
Directrix
  • Directrix
We are looking for e which is the length of the hypotenuse. Look at the trig ratios that I posted and choose either one which has the word "hypotenuse" in its denominator.
anonymous
  • anonymous
in order to find the hypotenuse i am going to need to find either d or f, correct?
anonymous
  • anonymous
im thinking i will be needing to do 2 equations really. one to find f and after plug in f's value into the equation to find the hypotenuse...let me know if im wrong
Directrix
  • Directrix
>>in order to find the hypotenuse i am going to need to find either d or f, correct? I don't know because I am not thinking about the problem in that way. If you would look at the table of right triangle trig ratios and select one that has hypotenuse in it, that would be great. We have to rewrite one of those ratios and solve for e.
anonymous
  • anonymous
gotchya
Directrix
  • Directrix
Okay, then pick one of them. We won't select the tangent because it is the ratio of the opposite leg to the adjacent leg and does not directly use the hypotenuse e in its ratio.
anonymous
  • anonymous
so i put in sin 65= opposite leg/ hyp
Directrix
  • Directrix
sin 65= opposite leg/ hyp sin = F/E where F is the opposite leg and E is the hypotenuse. The next step is to solve for E and see if that is one of the options.
anonymous
  • anonymous
oh ok
Directrix
  • Directrix
|dw:1446265715491:dw|
Directrix
  • Directrix
Is F divided by sin(65) one of the options for what E equals?
anonymous
  • anonymous
i figured it out...wrong equation in the first place..needs to be cos65 = d/e. which gives you e = D / Cos65..answer c
anonymous
  • anonymous
right? :/
Directrix
  • Directrix
d over cos 65 degrees = e Yes, I agree.
anonymous
  • anonymous
yay thank you! :)
Directrix
  • Directrix
You are welcome.

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