okay, we are doing some problems for physics..and im kind of lost...I need help because I have never taken a trig class in my life and this physics book I have doesnt help that much..heres the question.
1. A man walks 5 mi east, then 6 mi North and then 3 mi further East. Make a scale diagram of the man's path on graph paper.
I did this and got 14 mi.
part b) Calculate the straight-line distance from where the man started to where the man ends up. (Is this the same, grater than or less than your answer to part a.
I got 10 mi as my answer which is less than.
Now heres my trouble.
c) At his final position the man turns and points toward his starting point. What direction is he pointing? (Be clear and exact)
Now of course he is pointing southwest, but he wants the degrees west of south. And I have no idea how to get this, someone told me to use tangent, but im completely lost how tangent can get this for me...can someone help me out?
2007-01-20 05:16:22 · 7 answers · asked by axcryingxshame 1 in Science & Mathematics ➔ Physics
A triangle with sides 8 by 6 and a hypotenuse of 10.
Tan (opposite/adjacent) = tan (4/3) = tan (1.33333333333)
This is the angle from dead south, measured clockwise.
http://www.carbidedepot.com/formulas-trigright.asp
53.1301023 degrees from due south, I believe
2007-01-20 05:33:22 · answer #1 · answered by _LEV_ 2 · 1⤊ 0⤋
The angle you want is the one at the top of your diagram (Northernmost) of the right triangle. The side adjacent to the angle is 6, the hypotenuse is 10. The side adjacent divided by the hypotenuse is a cosine. You want the angle whose cosine is 6/10 or .6
Looking down a trig table, the angle closest to .6 cos is about 53 degrees (clockwise from south) or 233 degrees on a compass.
To do it using a tangent, which is the side opposite the angle divided by the side adjacent (8/6 or 1.333), the table shows the angle whose tangent is closest to 1.333 is also 53 degrees.
To use the sine, which is the side opposite the angle divided by the hypotenuse (8/10 or .8), the angle with a sine of .8 is about 53.
2007-01-20 05:41:51 · answer #2 · answered by Aldo the Apache 6 · 1⤊ 0⤋
The base of the tangent will be 5+3 = 8 miles and the vertical is 6 miles.
Thus tan A = 6/8 = 3/4
Thus A is 36.87 degrees South of West
That means 90-36.87 = 53.13 degrees West of South.
2007-01-20 05:39:36 · answer #3 · answered by ag_iitkgp 7 · 1⤊ 0⤋
you're able to desire to try this by skill of springing up and including up the vectors. a million vector has the cost of five, at 0 ranges. (because of the fact it extremely is east) a million vector has a value of 6, at ninety ranges (because of the fact it extremely is north) and a million vector has a value of three, at 0 ranges (because of the fact it extremely is east.) Doing this, you come across that, whilst drawn, you're able to make a triangle's bases, with certainly one of a value of 8 at 0 ranges, and positively one of a value of 6 ranges. you're able to desire to then use the pythagorean theorem to remedy for the ensuing, that's 10, which you obtain. to discover the path, you utilize tangent, that's the different facet of the theta divided by skill of the adjacent facet. This makes: Tangent (theta) = 8/6. to remedy for theta, that's the path, you multiply the two aspects by skill of the inverse of tangent. You get an answer of 50 3.a million ranges.
2016-11-25 22:20:50 · answer #4 · answered by Anonymous · 0⤊ 0⤋
its 53.12 degrees west of south.
here u have to use a combination of similarity principle of geometry and some basic trig. join the end and starting pointsn
2007-01-20 05:38:40 · answer #5 · answered by prof 1 · 1⤊ 0⤋
the diagram looks like this
........../l
......../..l
....../....l
..../......l 6
../........l
/...8.....l
tan^-1=(8/6)=53.1 W of S
2007-01-20 05:31:51 · answer #6 · answered by 7 · 2⤊ 0⤋
ask you teacher
2007-01-20 05:33:32 · answer #7 · answered by Anonymous · 1⤊ 0⤋