You are standing 200 meters away from the Eiffel Tower in Paris. The height of the tower is 324 m (including the flagpole). Find the length of the missing side of this right triangle. Round to the nearest meter.
2007-09-16 14:41:38 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x ² = 200 ² + 324 ²
x ² = 144976
x = 381 m
2007-09-16 21:13:39 · answer #1 · answered by Como 7 · 1⤊ 0⤋
Sometimes, its a good idea to try and draw a picture in order to see the problem. You know that the tower is 324m tall. And you are standing 200 meters from the tower. You could symbolize this in a drawing. Look for the key words in the problem. You need to find the lenght of the missing side of the right triangle.
You need to know what the method is for a RIGHT triangle. "Right" is the key word in the problem. Anytime you have a right triangle you can use this method to find a missing side. You have three sides on the triangle. You have 2 legs and the hypotenuse. You have to be able to identify the three sides of the triangle. Just remember that the pythagorean theorem will be used in a lot of triangles, right triangles! The formula for the pythagorean theorem is : a^2+b^2-c^2
You need to find a number times itself that equals 144976. What you could do is find the square root of 144976. Next, the problem says to round to the nearest meter. 380.7571404 needs to be rounded to the nearest meter which would be the ones place. If this were money it would be $380 dollars and apporx. 76 cents. You get 381 when you round to the ones place if you start with 380.7571404
So, you do this: 324m^2 + 200^2m=c^2 and then you get 144976 = c^2
The answer is 381 meters. Thats how you find the length of the missing side.
Please click on the link below to look at the picture I drew: http://img241.imageshack.us/img241/9987/answernp8.png. It will definatley help you with the problem.
2007-09-16 23:12:15 · answer #2 · answered by Anonymous · 0⤊ 1⤋
It's the square root of (324^2 + 200^2), so 381 meters.
2007-09-16 21:46:18 · answer #3 · answered by BLLYRCKS 5 · 0⤊ 0⤋
Just square the other two sides and add them up:
200^2 + 324^2
That is the square of the hypoteneuse,
so take the square root of it.
sqrt (40000 + 104976)
=sqrt (144976)
=380.76 meters [to 5 places]
You gave 3 places, so 381 is about right.
(This assumes a right angle.
The Eiffel tower is perpendicular to the ground;
the leaning tower in Pisa is not. :-)
2007-09-16 21:52:15 · answer #4 · answered by bam 4 · 0⤊ 0⤋
ok you make the 200m away your x and since youre on the ground, its respective y will be 0m.... the eiffel tower is going to be at 0m for x and will have 324m as its y... (200, 0) and (0, 324) since its a right triangle, use pythagoras theorum to measure the remaining side A^2 + B^2 = C^2
(y1 - y2)^2 + (x1 - x2)^2 or (324 - 0)^2 + (0 - 200)^2 which ='s 104976 + 40000... so C^2 is 144976 take the square root of that and we'll find that our missing side is roughly 380.76m, so it will be 381m
2007-09-16 21:51:17 · answer #5 · answered by graffiti_joker 3 · 0⤊ 0⤋
200^2 + 324^2 = 144976
Square root of 144976 = 380.7571404 which rounded to the nearest meter is 381.
2007-09-16 21:47:36 · answer #6 · answered by woot. 4 · 1⤊ 0⤋
Use the Pythagorean Theorem.
h^2 = a^2 + b^2 where h is the hypotenuse, the missing side.
h = sqrt of (200 * 200 + 324 * 324)
= sqrt of(40000 + 104976)
= sqrt of(144976)
= 380.757
Ans. 381 m
2007-09-16 21:44:30 · answer #7 · answered by cjcourt 4 · 0⤊ 0⤋
x² = 200² + 324²
x = â(40000 + 104976)
x = â144976 â 381 m
2007-09-16 21:47:34 · answer #8 · answered by Marvin 4 · 0⤊ 0⤋
The answer is 381 rounded to the nearest meter.
All you have to do is use the pythagorean theorem.
2007-09-16 21:47:55 · answer #9 · answered by mikesurf0519 2 · 0⤊ 0⤋
This is a right triangle and you use a squared = b squared + c squared. The missing side is the hypotenuse (a in the equation above)
2007-09-16 21:45:24 · answer #10 · answered by Cindy B 5 · 0⤊ 0⤋