Question

find the variables. If your answer is not an integer, leave it in simplest radical form. look in comments for picture

Answer 1

Arere you farmiliar with your trig functions? sin,cos,tan?

Answer 2

yes

Answer 3

You need to know about the 30-60-90 triangle

Answer 4

well Soh,cah,toa tells us that the sin of your angle is equal to the length opposite over the length of the hypotenuse

Answer 5

This is because the question asks to have the answer in radical form

Answer 6

ok @anthonyym

Answer 7

Here: sides of a 30-60-90 triangle have the lengths of their sides in these ratios

Answer 8

http://www.freemathhelp.com/images/lessons/triangle306090-3.gif

Answer 9

Here's where the 30-60-90 triangle comes from: http://www.purplemath.com/modules/trig.htm

Answer 10

So in your problem, side Y is 2 times the given side of length of 17.

Answer 11

ok

Answer 12

Therefore,
\[Tan 30 = \frac{ 1 }{ \sqrt{3} } =\frac{ opposite }{ adjacent } = \frac{ 17 }{ x }\]

Answer 13

therefore, x = 17*root 3

Value of root 3 = 1.732

17*1.732 = 29.444

Please don't forget to put the correct unit.
This prevents uneccesary loss of marks.

Answer 14

Another way to do this is:



Sometimes,to prevent un-ncecessaryly tought calculations that involve dividing by decimals,which can get to the wrong answer.
This method prevents that.

Answer 15

Here,
Use the property of tan,again.

Tan theta = opposite/adjacent

where ,
theta is 60
opposite is x
adjacent is 17

So,
tan 60 = opposite/adjacent
tan 60 = x/17

Value of tan 60 is root 3 or 1.732

1.732 = x/17
1.732*17 = x

therefore x = 29.444