What is the value of w ?
A) 7
B) 3.5
C) 7squareroot of 3
D) 14
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OpenStudy (anonymous):
OpenStudy (compassionate):
We know that a triangle must add up to 180 degrees. One angle is given (30 degrees) we also know that it's a right triangle, so one angle must be 90 degrees.
30 + 90 = 120. Now, take 120 and subtract 180.
180 - 120 = w
OpenStudy (anonymous):
60
OpenStudy (compassionate):
Yup! :)
OpenStudy (compassionate):
So, now that we have all three of our angles, and a point, do you know the formula to find the hypotenuse?
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OpenStudy (anonymous):
Asquared plus bsquared equals c square d
OpenStudy (compassionate):
:)
OpenStudy (anonymous):
I dont understand how that would give me w
OpenStudy (compassionate):
SOHCAHTOA tells use we need to use Sine.
The two sides we are using are Opposite (7__/3) and Hypotenuse (w)
Write down the fraction for sin 30° = (7__/3)/w
w x (sin 30) = 7__/3
w = 7__/3(/) (sin 30)
w = 7/2
w = 3.5
OpenStudy (anonymous):
Oh ok do you haveatime for one more?
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OpenStudy (anonymous):
Have time*
OpenStudy (compassionate):
Sorry - but I have to go. try asking @Ashleyisakitty , she's taking trigonometry/Geometry.