anonymous
  • anonymous
y=
Mathematics
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chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
options are 4.6 13.9 21.6
mathstudent55
  • mathstudent55
You need to use trigonometry of a right triangle.

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More answers

Nurali
  • Nurali
mathstudent55
  • mathstudent55
Look at the triangle. Which side is the hypotenuse?
Nurali
  • Nurali
Last Formula Tan60=8/y y=8/Tan60
UsukiDoll
  • UsukiDoll
errr but we're only given 1 side and 1 angle with 2 unknowns though ?!
mathstudent55
  • mathstudent55
@shylibra16 For simplicity, call the sides x, y, and 8. Of the three sides x, y, and 8, which one is the hypotenuse?
anonymous
  • anonymous
the x is the hypotenuse
mathstudent55
  • mathstudent55
Good. That means the y and the 8 are legs. Now look at the given angle. For that given angle, which side, y or 8, is the adjacent leg?
mathstudent55
  • mathstudent55
Hint: adjacent means "next to". Opposite means "across from".
anonymous
  • anonymous
y
mathstudent55
  • mathstudent55
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mathstudent55
  • mathstudent55
|dw:1436846878550:dw|
mathstudent55
  • mathstudent55
For the 60-deg angle, the y side is the opposite leg. For the 60-deg angle, the 8 side is the adjacent leg.
mathstudent55
  • mathstudent55
|dw:1436847013290:dw|
mathstudent55
  • mathstudent55
We know the angle. We know the adjacent leg. We are looking for the opposite leg. Look above at @Nurali 's helpful figure, and see which trig function relates the angle to the opposite and adjacent legs?
anonymous
  • anonymous
so its 13.9?
mathstudent55
  • mathstudent55
The tangent relates the opposite and the adjacent legs. You get \(\tan 60^o = \dfrac{opp}{adj} \) \(\tan 60^o = \dfrac{y}{8} \) \(y = 8 \tan 60^o\) \(y = 13.9\) You are correct.
anonymous
  • anonymous
YAY!
Nurali
  • Nurali
Tan60=8/y Not Tan60=y/8
UsukiDoll
  • UsukiDoll
so if it's \[\tan60 = \frac{8}{y}\] then \[y[\tan60]=8\] \[y=\frac{8}{\tan60}\] like that? @Nurali
Nurali
  • Nurali
@mathstudent55 @shylibra16

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