Question

What is the value of x?

A. 6


B. 24


C. 12 (Sqr Root) 2


D. 12 (Sqr root) 3

Picture:
http://i58.tinypic.com/123mlpl.jpg

ASAP! Thank you ^_^

Answer 1

You must use special right triangles

Answer 2

Well you dont have to but its easiest

Answer 3

So what type of special right triangle is this a 30,60,90 or 45,45,90

Answer 4

This is all I have: http://i61.tinypic.com/313loi8.png

Answer 5

it is a 30 60 90, so use this page and you should be able to find you answer

Answer 6

http://fcat.fldoe.org/eoc/pdf/algebra1.pdf

Answer 7

so you should come out with d

Answer 8

Carrie:

Welcome to OpenStudy!

To do well in this particular course, you'll need to learn, understand and remember definitions and formulas applying to a good many concepts. If you're not already in the habit of listing such definitions and formulas each time you go through a new section of your course, I'd suggest you start now.

The triangle in the picture is a "right triangle." You're expected to be able to recognize that fact. A "right triangle" has ONE 90-degree angle, as this one does.

Next, you're going to have to figure out a way to find the length of the "hypotenuse" of this triangle, that is, the length of the longest side.

Since you're given only one side length here, the Pythagorean Theorem won't help you much in finding x. Instead, you must resort to trigonometry. Your clue is that one angle (the 30 degree angle) is given.

Answer 9

On that list of yours, you need to have the following definitions of trig functions for starters:
\[\sin x=\frac{ opp~side }{ hyp };~\cos x=\frac{ adj~side }{ hyp };~and ~\tan x = \frac{ opp ~side }{ adj~side }\]Have you seen these before? If not, better look up "elementary trig functions."

Answer 10

You dont have to do trig, You can use special right triangles

Answer 11

Now, since you want to find the length of side x, you must choose the appropriate trig function for this purpose. That function MUST involve the hyp and the the opp side of this triangle, that is, the side opposite the 30-degree angle.

Copy the defintion of the sine of x, as given above.

Which values do you know? Which ones do you not know? Choose the trig function that involves the opp side and the hypotenuse. What next? How would you find the value of that trig function for the angle 30 degrees?

Answer 12

@mathmale Cant you just notice that it is a special right triangle and save yourself time

Answer 13

Using a 30-60-90 triangle and the standard lengths of its three sides is an appropriate alternative approach, useful if you don't already know the trig functions.

Answer 14

@CarrieSmilez: Have you learned "special triangles" already in your course? If so, share what you know about 30-60-90 triangles before proceeding.

Answer 15

@mathmale I already took the test but um I studied the page on the link he gave me and I passed it, so I'm probably okay. I'll probably learn trig next year. Thanks though

Answer 16

@CarrieSmilez: Have you learned "special triangles" already in your course? If so, share what you know about 30-60-90 triangles before proceeding.

Answer 17

@CarrieSmilez that is the florida eoc algebra 1 and geometry reference sheet and i give to all students to use on tests so it is totally ok you can use it on everything

Answer 18

@discrazyginger Yeah I saved it to my laptop, I'll probably be using that a lot now. Thanks!

Answer 19

@CarrieSmilez No Problem :D

Answer 20

Carrie: If you still want help with the problem at hand, explain as best you can, in your own words, how the special 30-60-90 degree triangle applies to this problem.

Answer 21

I have no idea @mathmale :)