can someone help me solve this problem. If the angle is 60 and the opposite side is 32 and the adjacent side is x, then what exactly is x. This is a right triangle also. The answer comes out to be 32√3/3.
2007-03-31 17:40:08 · 8 answers · asked by ms ambitious 4 in Science & Mathematics ➔ Mathematics
Use tan(60) = opposite/adjacent = 32/x
3^1/2 = 32/x
3^1/2 * x = 32
x = 32/(3^1/2)
Now rationalize your denominator, and you're done!
good luck!
BTW -- see below -- the shorter leg is NOT the one opposite the 60° angle.
Awwww -- never mind -- he edited his mistake. . .
2007-03-31 17:44:54 · answer #1 · answered by birdwoman1 4 · 0⤊ 1⤋
For a 60° angle in a right triangle the relation of the sides is:
adjacent:hypotenuse:opposite = 1:2:â3
the ratio of the side adjacent to the side opposite, then, is 1/â3, so
1/â3 = x/32
x = 32/â3
Getting rid of the radical in the denominator,
x = 32â3/(â3â3) = (32â3)/3
2007-04-01 00:57:17 · answer #2 · answered by Helmut 7 · 0⤊ 1⤋
did you learn your 30-60-90 triangles yet? if it's right triangle, then one angle is 60, another must be 90, so (180-60-90=30) 30 is other side. If side across from 30 is x, then side across from 60 is (root 3)x and side across from 90 is 2x. So 32 divided by root 3 equals (32/(root 3)). to simplify multiply by (root 3)/(root 3) you get 32(root 3)/ 3.
If you don't get the 30-60-90 thing, just prove w/ pyth thm. 1 squared (which is 1) plus root 3 squared (which is 3) equals 4 (which is 2 squared.
Hope that answers your ?. BTW, why are you doin math on sat. night?
2007-04-01 00:47:39 · answer #3 · answered by The Ghetto David Hume 3 · 0⤊ 0⤋
In 30-60-90 degree triangle, the longer leg is always â3 times the shorter leg.
32 = â3 x
x = 32/â3 = 32â3/3
2007-04-01 00:45:51 · answer #4 · answered by sahsjing 7 · 0⤊ 2⤋
First note:
In a right triangle the tangent of an angle tan(a) = the opposite side/ajacent side
In this problem you can set it up such that: tan(60)=x/32
Now you simply solve for x. tan(60) = â3.
x = 32/â3 = 32â3/3
2007-04-01 00:47:58 · answer #5 · answered by lukedu186 2 · 0⤊ 1⤋
Because this is a right triangle,
tan 60 degrees = tan (pi/3) = 32/x ie the side opposite/side adjacent
x = 32/tan (pi/3) = 32/[sqr(3)] = 32sqr[3]/3
Remember that tan (pi/3) = sqr[3], good to commit this to memory
2007-04-01 00:51:43 · answer #6 · answered by kellenraid 6 · 0⤊ 1⤋
Yeah the answer is 18.48. Because tan(x)=opposite/adjacent.. and if you take x to be 60 and plug the rest of the stuff in, it comes out that way
2007-04-01 01:45:32 · answer #7 · answered by Anonymous · 0⤊ 1⤋
tan(A) = opposite/adjacent
tan(60) = 32/x
x = 32/(tan(60))
x = 32/(sqrt(3))
to get rid of the sqrt value, multiply top and bottom by sqrt(3)
x = (32sqrt(3))/3
2007-04-01 01:00:19 · answer #8 · answered by Sherman81 6 · 0⤊ 1⤋