The shortest height of a right triangle is 7 cm, and its smallest angle is 15 degrees. How long is its hypotenuse?
2007-04-28 07:59:55 · 4 answers · asked by bob 2 in Science & Mathematics ➔ Mathematics
h = 7 / sin15
(= 27.05 cm)
____
The smallest angle is opposite the shortest side.
We know that
sin x = opposite leg / hypotenuse
so
sin 15 = 7 / h
h · sin 15 = 7
h = 7 / sin 15
h = 27.05 cm
Hope this helps.
2007-04-28 08:03:49 · answer #1 · answered by M 6 · 6⤊ 3⤋
sinθ = y/r
sin15 = 7/r
rsin15= r(7/r)
rsin15 = 7
rsin15 / sin15 = 7 / sin 15
r = 7 / sin15
r = 7 / 2.58819045
r = 17.04592314cm
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2007-04-28 16:05:27 · answer #2 · answered by SAMUEL D 7 · 0⤊ 0⤋
I'd say about 27.7cm
sin15=.2528, and 7/27.7 = .2528
2007-04-28 15:08:32 · answer #3 · answered by musics_my_world 2 · 0⤊ 0⤋
hyppotenuse length = 7cm/(sin15degree)
2007-04-28 15:05:09 · answer #4 · answered by Mark 6 · 0⤊ 0⤋