The body of a dump truck is raised to empty a load of dirt. How high is the 10-inch body from the frame when it is tipped up at 30 degrees? Round to the nearest inch.
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OpenStudy (krazykricket):
OpenStudy (jordan123321):
what do you think
OpenStudy (krazykricket):
I was thinking it was B. 7, but I wanna be 100% sure.
OpenStudy (sierra!):
no
OpenStudy (krazykricket):
Sierra, Can you help me?
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OpenStudy (sierra!):
Yes
OpenStudy (krazykricket):
Thanks :)
OpenStudy (sierra!):
Do you understand what to do?
OpenStudy (sierra!):
I cant give direct answers so we have to do the work together :D
OpenStudy (krazykricket):
Alright, I thing the longest side is 10 because it says "10-inch body" I am not sure if it is the whole truck or just the load though.
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OpenStudy (sierra!):
'10-inch body' could be referring to the hypotenuse or the horizontal leg. I would think it's the hypotenuse.
OpenStudy (krazykricket):
The hypotenuse is the longest side correct?
OpenStudy (krazykricket):
Only thing it gave me is 2 angles 90 & 30. And the Hypotenuse. I am confused what to do after that.
OpenStudy (sierra!):
|dw:1426774546737:dw|
OpenStudy (sierra!):
and your tring to find the missing side
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OpenStudy (krazykricket):
How would I do that?
OpenStudy (sierra!):
You have the trig relation
sin30∘=10/x
Solve for x.
OpenStudy (sierra!):
you would multiply both sides by x
OpenStudy (krazykricket):
30x=10x?
OpenStudy (sierra!):
\[\chi \sin30= \frac{ 10 }{ x } \times x\]
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OpenStudy (sierra!):
\[x \sin 30=10\]
OpenStudy (sierra!):
So whats your answer?
OpenStudy (krazykricket):
20?
OpenStudy (krazykricket):
Oh I see how you got that!
OpenStudy (sierra!):
ok Good Luck :D
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