the angle given is 60˚ and the side given is 16 m. thank you
2007-09-25 08:47:16 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It depends on which side you have. Is it the short side? the medium side? or the long side? All three will give you different answers.
Given a 60° right triangle, you have all three angles: 30°, 60° and 90°. But you have to be more specific as to which side is 16m long.
Once you have that, you can get both of the other sides by using the arctan (inverse tangent), arcsine (inverse sine) or arccosine (inverse cosine) functions.
2007-09-25 08:51:01 · answer #1 · answered by Dave 6 · 0⤊ 0⤋
It depends on which side it is, relative to the angle. Remember that 30-60-90 triangles always have their sides in the ratio of 1 : â3 : 2. So if, for example, the 16m side is the side opposite of the 30° angle, then the other two sides are 16â3 and 16*2=32.
2007-09-25 15:51:51 · answer #2 · answered by Anonymous · 1⤊ 0⤋
all triangles have 180 degrees in them
so if you have a right triangle you know 2 things
1st 60 degree and 90 degree which leaves a 30 degree angle.
Now you can use your ratio of 1 : â3 or 1 : 2.
depending on which side is use the ratio above
16( â3 )
or
16(2)
Hope this helps
2007-09-25 15:53:51 · answer #3 · answered by fire_music_bk 4 · 0⤊ 0⤋
If the side given is the short leg, then the long leg = 16sqrt(3) and the hypotenuse = 32
If the side given is the hypotenuse, then the short leg = 8 and the long leg = 8sqrt(3)
If the side given is the long leg, then the short leg
= 16/sqrt(3) = (16sqrt(3))/3 and the hypotenuse
= (32sqrt(3))/3
2007-09-25 15:59:48 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
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2007-09-25 15:56:19 · answer #5 · answered by PMP 5 · 0⤊ 0⤋