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Mathematics 29 Online
OpenStudy (geekfromthefutur):

Can someone help me plz its my last question

OpenStudy (geekfromthefutur):

OpenStudy (solomonzelman):

You can almost use the sin law: i.e. Sin(35) /h = Sin(H) /660

OpenStudy (solomonzelman):

you just need to find the H, and then apply the sine law to solve for h.

OpenStudy (geekfromthefutur):

ok so how would i do that i see it right there

OpenStudy (solomonzelman):

you know that the angle T=90, O=35 and the only unknown angle is H. There is a rule, that the sum of all angles in a triangle is equal to 180 degrees. In your case that would mean that T + O + H = 180 you know angles T and O, but not the H, so: 90 + 35 + H = 180 (the find H)

OpenStudy (geekfromthefutur):

OHHH every triangle equals up to 180 degrees

OpenStudy (geekfromthefutur):

so what we would do is grab 180 and subtract it and do 180 - 90 - 35=

OpenStudy (solomonzelman):

not "up to" 180 degrees, but EXACTLY 180 degrees.

OpenStudy (solomonzelman):

yes, very nice. H=180-90-35

OpenStudy (geekfromthefutur):

55

OpenStudy (solomonzelman):

Yes, that is correct

OpenStudy (solomonzelman):

Now we can use the sine law Sin(35) /h = Sin(H) /660 plugging in our H, Sin(35) /h = Sin(55) /660

OpenStudy (geekfromthefutur):

Sweet so thats it h is 55

OpenStudy (solomonzelman):

no lowercase h is the height. The angle you need ed and found to be 55 is H, uppercase.

OpenStudy (geekfromthefutur):

Sin(35) /55 = Sin(55) /660

OpenStudy (solomonzelman):

no, you didn't find h, you only found H.

OpenStudy (geekfromthefutur):

o i get it

OpenStudy (solomonzelman):

(lowercase H is the angle. you used the rule about the sum of angles in a triangle to obtain H. the h, lowercase, you still need to find.)

OpenStudy (solomonzelman):

yes....

OpenStudy (solomonzelman):

Sin(35) /h = Sin(55) /660

OpenStudy (solomonzelman):

now, use your calculator, and you are done.....

OpenStudy (geekfromthefutur):

0.819 i got for sin55

OpenStudy (geekfromthefutur):

1.24 for it divided

OpenStudy (solomonzelman):

Sin(35) /h = Sin(55) /660 samewise, h / Sin(35) = 660/ Sin(55) h = 660 * Sin(35) / Sin(55)

OpenStudy (solomonzelman):

(the approximate result, is under "decimal approximation")

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