In the given triangle, find to the nearest centimeter the length of the side marked x.
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2007-09-10 09:59:27 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1. x = 40 sin 42
2. x = 50 cos 54
3. x = 18 tan 35
4. x = 41/ tan 24
all these answers come from knowing:
sin = O/H
cos = A/H
tan = O/A
2007-09-10 10:13:40 · answer #1 · answered by 037 G 6 · 0⤊ 0⤋
First determine the measure of the third angle (55).
Then find the sine of 55. Set that equal to 18/H and solve for H.
Now you know the length of the hypotenuse.
The length of the hyp squared is equal to 18 squared plus x squared.
You could also use the cos of 35 and set that equal to 18/H
---------
SOH CAH TOA
Sine equals
Opposite side over
Hypotenuse
Cosine equals
Adjacent side over
Hypotenuse
Tangent equals
Opposite side over
Adjacent
2007-09-10 17:05:56 · answer #2 · answered by soelo 5 · 0⤊ 1⤋
tan 35 = x/18
2007-09-10 17:02:11 · answer #3 · answered by Kenneth H 3 · 0⤊ 1⤋
another way is law of sines, which also gives you 12.60, which rounds up to 13
2007-09-10 17:09:58 · answer #4 · answered by Anonymous · 0⤊ 1⤋
x=18tan(35)
x=12.6 say 13 cm
2007-09-10 17:06:07 · answer #5 · answered by bignose68 4 · 0⤊ 1⤋
sin35 = x/18 ; i don't have a calculator handy, so you'll have to type this in!
2007-09-10 17:03:53 · answer #6 · answered by christmastree 3 · 0⤊ 1⤋
x = 18tan35 = 12.60
2007-09-10 17:06:02 · answer #7 · answered by sahsjing 7 · 0⤊ 1⤋
use trig
2007-09-10 17:01:19 · answer #8 · answered by hobo h 4 · 0⤊ 1⤋