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OpenStudy (book):
OpenStudy (3mar):
What did you pick?
OpenStudy (book):
Im still trying to understand the question
OpenStudy (3mar):
Take your time.
OpenStudy (joshtray):
have you heard of pythagoras theorem?
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OpenStudy (book):
Im look at this rn, is this it?
OpenStudy (3mar):
Of course I have, but what about you?
OpenStudy (joshtray):
it was @Book
OpenStudy (joshtray):
yes that is the principle to be used
OpenStudy (book):
Then yes but idk how to find a... i see theres a 49 in the corner would that be used as a?
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OpenStudy (joshtray):
you also need to apply trigonometry
OpenStudy (book):
OpenStudy (joshtray):
have you heard of SOHCAHTOA
OpenStudy (book):
kinda
OpenStudy (joshtray):
that image shows the trigonometric ratios
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OpenStudy (book):
OpenStudy (joshtray):
we want to get the length of the plank, which can be said to be c in the second diagram, and hypotenuse in the third diagram
OpenStudy (book):
OpenStudy (joshtray):
we now need to use what we have to get what we need
OpenStudy (joshtray):
we have the distance between the foot of the plank and the wall as 3 ft and that is the 'opposite' because it is facing opposite the angle 49 degrees
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OpenStudy (joshtray):
so we look for the trig. ratio comparing opposite and hyptoenuse, which is sin(A) The A here is 49
OpenStudy (joshtray):
so\[\sin49=\frac{ 3 }{ hyp }\]
OpenStudy (book):
mk
OpenStudy (joshtray):
using a calculator or four figure table, sin49 is approximately equal to 0.8or 8/10. So\[\frac{ 8 }{ 10 }=\frac{ 3 }{ hyp }\]
\[8hyp=30\]
\[hyp=30/8=3.75\]
That is 3.8ft to the nearest tenth
OpenStudy (joshtray):
do you understand
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OpenStudy (book):
Yes ty
OpenStudy (book):
Would that answer both questions?
OpenStudy (joshtray):
you can use the same format to solve for the second question
OpenStudy (book):
hmm ok
OpenStudy (book):
Could u help me out on part b?
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OpenStudy (joshtray):
ok
OpenStudy (joshtray):
since the length of the wall is 'adjacent' because it is close or 'adjacent' to the angle in focus
OpenStudy (joshtray):
now since we know both the hypotenuse and the opposite, there are three things we can use
1. \[a^{2}+b^{2}=c^{2}\]
OpenStudy (joshtray):
sorry gotta go
OpenStudy (book):
ok..
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