A submarine dives 83 m at an angle of 18° below the horizontal. What are the two components?
x=___m
y=___m
can you show me how to solve that?
2006-09-27 17:48:37 · 7 answers · asked by tingerpoo 2 in Science & Mathematics ➔ Mathematics
If 83 meters is the total distance travelled at the given angle....
x = 83 (cos 18deg) = 78.9m
y = 83 (sin 18deg) = 25.6m
Check by Pythagorean Theorem...(78.9)^2 + (25.6)^2 = (83)^2
Pretty close due to rounding of decimals.
2006-09-27 17:56:10 · answer #1 · answered by Professor 3 · 0⤊ 1⤋
components are listed below .for further learning of writing the horizontal and vertical components learn resolution of vectors from a physics text book. always the X component is cos function and Y component is the sine function
X= [83 x cos(18)]=78.93m
y = [83 x sin(18)]= 25.64m
2006-09-28 01:05:04 · answer #2 · answered by KSA 3 · 0⤊ 0⤋
This can be solved by trignometry using relationships of right triangle.
Sin 18 Deg= Y/83 ; Y=Sin 18*83 = 0.31*83=25.65m
Cos 18 Deg = X/83 ; X= Cos18 * 83= 0.95*83 = 78.94m
Therefore X= 79m approximately and Y = 26m approx
2006-09-28 00:58:00 · answer #3 · answered by Fred 2 · 0⤊ 1⤋
Do you have example problems in the book with triangles?
Do you have a calculator?
x=83*sin(18 degrees)=approximately 25.7 meters
y=83*cos(18 degrees)=approximately 78.9 meters
If the above answers are right, (25.7)^2 + (78.9)^2 should equal approximately 83.
2006-09-28 01:09:43 · answer #4 · answered by Robert B 5 · 0⤊ 0⤋
x = 83 * cos (18)
y = 83 * sin (18)
Just drawing a right angle triangle... then the longest one is 83meter.
2006-09-28 01:13:08 · answer #5 · answered by Mr. Logic 3 · 0⤊ 0⤋
Hmm...its hard to explain it since i cant draw on here but basically you are using a right triangle. 83m is the hypothenuse and you can use sin and cos to solve for the x and y components. x is going to be 83*cos(18) and y = 83*sin(18)
Sorry wish I could explain it better.
2006-09-28 01:01:38 · answer #6 · answered by CrxK20 2 · 0⤊ 1⤋
83 is the hypotenuse...
x = 83 cos(18)
y = 83 sin(18)
2006-09-28 00:54:42 · answer #7 · answered by Rachel T 2 · 0⤊ 1⤋