angle = 34degrees adj= 29.4
quick i need to know
2006-11-16 06:34:48 · 10 answers · asked by rossmcloone 1 in Science & Mathematics ➔ Mathematics
SOH-CAH-TOA
You have an adjacent side (A)
You want to know the hypotenuse (H).
So you will take the cosine (C) of the angle (from CAH).
CAH --> cos(angle) = A/H
cos(34°) = A/H
cos(34°) = 29.4/H
Now solve for H:
H = 29.4 / cos(34°)
H ≈ 35.5 units
2006-11-16 06:40:27 · answer #1 · answered by Puzzling 7 · 1⤊ 1⤋
You know one of the sides, 29.4 units.
You know two of the angles, 34 degrees and 90 degrees. The 90 degrees angle is opposite the hypotenuse.
It is not clear here (but will be clear in the question) whether the 34 degree angle is opposite 29.4 units or the other.
If you know one side AND the angle OPPOSITE that side, you can use the sine rule. You already know that the angle opposite the hypotenuse is 90 degrees.
a over sin A = b over sin B = c over sin C.
2006-11-16 14:47:05 · answer #2 · answered by rosie recipe 7 · 0⤊ 1⤋
Use the trigonometric function cosine. cos 34 degrees=29.4 divided by A (the hypotenuse). Then manipulate the equation to get A alone. Your equation should look like A=29.4/cos34 degrees. Then plug this into your calculator and you will get the length of the hypotenuse.
2006-11-16 14:40:16 · answer #3 · answered by dandylion_tiger_girl 2 · 1⤊ 2⤋
Find the cosine of the angle taht you know:
cos 34 = 0.8290
Since the cosine is defined as (adjacent side) / (hypotenuse side), we set up our equation:
29.4 / x = 0.8290 --- Multiply both side (for simplicity) by x
29.4 = 0.8290x --- Divide both sides by 0.8290
x = 35.46
So, the hypotenuse equals 35.46
2006-11-16 14:41:27 · answer #4 · answered by Anonymous · 0⤊ 1⤋
SOH CAH TOA my friend, learn it love it...
sin (theta) = Opposite length/Hypoteneuse length
cos (theta) = Adjacent length/Hypoteneuse length
tan (theta) = Opposite length/Adjacent length
You have adjacent length and the angle... it should be very easy to figure out which equation above to use. Then, solve for H (hypoteneuse length)
2006-11-16 14:42:47 · answer #5 · answered by AresIV 4 · 1⤊ 1⤋
a^2+b^2=c^2
a and b are the lenghts of the sides at the right angle, and the length of the hypotenuse side is c
a=3
b=4
c=5
9+16=25
measure the sides and do the math.
2006-11-16 14:38:38 · answer #6 · answered by Blunt Honesty 7 · 0⤊ 4⤋
cos 34 = Hypotenuse divided by 29.4
means hypotenuse= 29.4 * cos 34
2006-11-16 14:37:37 · answer #7 · answered by Anonymous · 0⤊ 2⤋
Sounds like you suck at trig as bad as I do!
Did not mean any disrespect...I posted a question similar. Just meant I don't know it either!!!!!!
2006-11-16 14:42:14 · answer #8 · answered by U can't b serious 4 · 0⤊ 2⤋
soh cah toa.... use trig to find that length.
2006-11-16 14:37:03 · answer #9 · answered by travis R 4 · 2⤊ 1⤋
please open up the text book and read it
or ask your math teacher for some help
2006-11-16 14:41:59 · answer #10 · answered by Funchy 6 · 0⤊ 2⤋