A right triangle’s legs are 3 and 4 meters long. What is the measure of the angle adjacent to the 4-meter leg to the nearest tenth of a degree?
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OpenStudy (anonymous):
* 35.9
*36
*36.9
*37.5
jhonyy9 (jhonyy9):
ok
so there is a right triangle what you know from the text of this your exercise
yes ?
jhonyy9 (jhonyy9):
do you know the pythagorean numbers ?
jhonyy9 (jhonyy9):
what is the theorem of Pythagoras ?
OpenStudy (anonymous):
yes there is a right angle. but that is the only thing about this that i understand
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jhonyy9 (jhonyy9):
so than you dont know the theorem of Pythagoras ?
jhonyy9 (jhonyy9):
are you here ?
jhonyy9 (jhonyy9):
so the theorem of Pythagora say that in case of a right triangle the square of hypothenuse is equal with the sum of the square of the shortly sides
let a and b the shortly sides and c is the hypothenuse
so than there is
c^2 = a^2 + b^2
ok ?
OpenStudy (anonymous):
yeah i get that part.
jhonyy9 (jhonyy9):
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OpenStudy (anonymous):
25?
jhonyy9 (jhonyy9):
25 is the square of x
but you need calculi the x
OpenStudy (anonymous):
3+4=7?
jhonyy9 (jhonyy9):
no check it above how i have wrote there the Pythagorean theorem
OpenStudy (anonymous):
how do i figure A?
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jhonyy9 (jhonyy9):
x^2 = a^2 + b^2
jhonyy9 (jhonyy9):
x^2 = 3^2 +4^2
jhonyy9 (jhonyy9):
x^2 = 9+16 =25
x^2 =25
OpenStudy (anonymous):
\[3^{2}+4^{2}=25\]
jhonyy9 (jhonyy9):
so than x = ?
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OpenStudy (anonymous):
12.5?
jhonyy9 (jhonyy9):
x^2 = 25
x = sqrt25 = ?
jhonyy9 (jhonyy9):
how many is sqrt25 ?
OpenStudy (anonymous):
5
jhonyy9 (jhonyy9):
yes right
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OpenStudy (anonymous):
but what is the measure of the angle adjacent to the 4-meter leg to the nearest tenth of a degree
jhonyy9 (jhonyy9):
so this will be angle C on my draw
yes ?
OpenStudy (anonymous):
ok
jhonyy9 (jhonyy9):
do you know how many will be sin C = ?
what is the sinus of an angle ?
jhonyy9 (jhonyy9):
sorry this was wrong
so the sinus of an angle is opposite side divide hypothenuse
can you rewrite and calculi it using these values of sides ?
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jhonyy9 (jhonyy9):
sin C = 3/5
jhonyy9 (jhonyy9):
sin C = 0,6
OpenStudy (anonymous):
you lost me
jhonyy9 (jhonyy9):
why ?
OpenStudy (anonymous):
i am lost on sin cas and tan
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jhonyy9 (jhonyy9):
than you need learning again some , trigonometry from your math book
yes ?