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Mathematics 9 Online
OpenStudy (book):

Help?

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?

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?

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

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

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

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?

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..

OpenStudy (3mar):

If I may help?

OpenStudy (book):

yes please

OpenStudy (3mar):

Can we start in new post, please?

OpenStudy (book):

sure

OpenStudy (3mar):

Thank you.

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