We are all trying to figure out this IQ question, and we need your help. Here it goes:
Two vehicles start out back to back. Each one drives straight for 6 miles. Then each one makes a left turn and drives 3 more miles. How far apart are they??
Answer and formula, please!! Thanks a lot!!
2006-06-21 10:56:01 · 13 answers · asked by Botanesis 2 in Science & Mathematics ➔ Mathematics
You have two triangles. Use the pythagoreum theorum to figure out the hypotenuse to each. Ad the length of the two hypotenuse and you have your answer.
a2+b2=c2 where a2 is one side of triangle and b2 is the other side of the triangle.
6(2) + 3(2) = 45
take the square root of 45 and double it for your answer.
Remember that the catch is that the trucks take left turns. If they start out back to back; one heads west, the other heads east, if each take left turns, one will be going north, the other south, thus the two triangles.
2006-06-21 11:04:07 · answer #1 · answered by aitutaki98 3 · 0⤊ 2⤋
back to back for six miles each is 12 miles, then a double left turn for three miles is 6, so the distance is the Hypotenuse of a right triangle with legs of 6 and 12, the formula for the distance is the square of each leg added together a the square root of the result. In this case 36 +144 or 180, sq rt 180 is 13.41 miles as the crow flies.
2006-06-21 11:07:59 · answer #2 · answered by Anonymous · 0⤊ 0⤋
At the end of the journey you can draw a right angle triangle to represent the journey. A straight line from truck to truck represents the hypothenuse, and the base will be 12 miles and the height will be 6 miles. Solve using hyp^2 = b^2 + h^2 and you get hyp^2 = 144 + 36, or hyp^2 = 180 or hyp = sqrt 180 = 13.4 miles
2006-06-21 11:05:10 · answer #3 · answered by jeremycharles7 2 · 0⤊ 0⤋
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2016-03-27 00:16:26 · answer #4 · answered by Anonymous · 0⤊ 0⤋
If they make a 90 degree turn, They will be (in coordinates) 2*(6, 0) + 2*(0, 3) = (12, 6) apart from each other. Then the euclidean distance is (12^2 + 6^2)^.5 = 13.416...
2006-06-21 11:57:12 · answer #5 · answered by User1 2 · 0⤊ 0⤋
If you draw it out, it makes two right-angled triangles. The distance between the two cars will be the hypotenuse of each triangle put together.
If you use the pythagorean theorem, the length of the hypotenuse is 6^2 + 3^2 = x^2
36 + 9 = x^2
45 = x^2
so, 3sqrt5 = x or approx. 6.7
Because it is two triangles, they are 6 sqrt 5 miles apart, or approx. 13.4 miles.
2006-06-21 11:03:37 · answer #6 · answered by scotsgirl 2 · 0⤊ 0⤋
You need to use pythagoras' theorem.
They are 12 miles apart horizontally and 6 miles apart vertically.
Answer = squareroot of (12^2 + 6^2)
Use pythagoras and you get 13.41 miles.
2006-06-21 11:02:37 · answer #7 · answered by Anonymous · 0⤊ 0⤋
18 miles
2006-06-21 11:00:11 · answer #8 · answered by Anonymous · 0⤊ 0⤋
The absolute distance is 14,14 miles by airline, or 18 miles by their own trajectory.And, how much of turn they did?
2006-06-21 11:21:55 · answer #9 · answered by Anno Domini 3 · 0⤊ 0⤋
Well, you need to draw it out. I don't know how to put it into words, but you need to draw 2 congruent triangles and find how long the 2 hypotenii are. The answer is gonna be like 15.
2006-06-21 11:02:49 · answer #10 · answered by c_c_runner88 3 · 0⤊ 0⤋