Question

@whpalmer4
https://pwnd9373-ndscholarship-ccl.gradpoint.com/Resource/630568,72F,0,0,0,0,0/Assets/testitemimages/geometry_b/right_triangles_and_trigonometry/mc067-1.jpg
Find M 12 years ago

Answer 1

Okay, you've got a right triangle, you know all 3 sides, set up your trig definitions and choose which one fits best.

SOH - Sin is Opposite over Hypotenuse
CAH - Cos is Adjacent over Hypotenuse
TOA - Tan is Opposite over Adjacent

You can use any of the three, so long as you properly identify which side is the hypotenuse, which is adjacent, and which is opposite.

Then you'll have something like \[\sin F = \frac{a}{b}\]where \(a,b\) are the lengths of sides. m<F will be \[F = \sin^{-1}(\frac{a}{b})\]

Again, you don't have to use sin, that's just what I did, and knowing all three sides, you have the luxury of choice.

Answer 2

ok so im going to use sin1(5/13)=0.38

Answer 3

or another way i did it was 5(13)=65
the answer choices were

43
23
65
67

Answer 4

@whpalmer4

Answer 5

65 is a trap answer, designed to catch people who do 5*13 = 65.

\[\sin F = \frac{12}{13}\]because Sin is Opposite over Hypotenuse and the long side of the triangle (length 12) is the side opposite the angle F.

\[F = \sin^{-1}(\frac{12}{13})\]Punch the numbers into your calculator and tell me what you get. It's possible your calculator calls this function arcsin instead of \(\sin^{-1}\).

Answer 6

23

Answer 7

@whpalmer4

Answer 8

Look at the diagram. Angle F is the one in the upper right hand corner, yes? Does that look like that could be 23 degrees?

Answer 9

Divide 12/13 on your calculator. What is the result?

Next compute the arcsin of that number. What is the result?

Answer 10

12/13=0.923076923

Answer 11

it is 67 or 43 im gong to go wth 67 degrees

Answer 12

67 degrees is correct. That should be the only answer your calculator gives for that problem...if you get something else, some study of the operating manual is needed...

Answer 13

Also, 43 can't possibly be the answer, either — that would imply the other angle is 47 degrees, and it would look like this:

Answer 14

my firest assuption was when it asnt 23 it had o have been 67 because it wasnt 65

Answer 15

thank you for helping me i aprreciate it

Answer 16

I can't stress how important it is to develop a feel for what the correct answer will be...otherwise, you might as well guess :-)

Answer 17

actually, I can stress that — I can't stress it too much :-)

Answer 18

i agree wth that math is the most subject i struggle with everything else is a piece of cake lol

Answer 19

especially when you use some sort of computational tool — if you just blindly trust the answer that comes out, you'll never know what hit you :-) I see way too many people on OpenStudy who a) can't do the arithmetic themselves, and b) aren't reliable operators of their calculator — that's a bad combination!