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Mathematics 15 Online
OpenStudy (anonymous):

Find the value of Y

OpenStudy (anonymous):

|dw:1412734385783:dw|

OpenStudy (mrdoe):

so first you need to find the length of the vertical line, which you can find using sin(30) - l/8 where l is the length of that line. Then you can find the length of y. Also, is y just the section on the left triangle or the line segment of both triangles?

OpenStudy (anonymous):

just the section on the left

OpenStudy (mrdoe):

also i meant to say sin(30) = l/8, not "-"

OpenStudy (mrdoe):

ok, so once you have the length of the vertical line I am calling "l", you can use the tangent and the known angle in the left triangle to solve for y in the same way

OpenStudy (anonymous):

so the answer is?

OpenStudy (mrdoe):

sin(30) = l/8 ----> l=4 tan(60) = 4/y -----> y=2.3094

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