Difference between revisions of "1969 AHSME Problems/Problem 26"
(Created page with "== Problem == A parabolic arch has a height of <math>16</math> inches and a span of 40 inches. The height, in inches, of the arch at the point <math>5</math> inches from the cen...") |
(→Problem) |
||
| Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
| − | A parabolic arch has a height of <math>16</math> inches and a span of 40 inches. The height, in inches, of the arch at the point <math>5</math> inches from the center <math>M</math> is: | + | <asy> |
| + | draw(arc((0,-1),2,30,150),dashed+linewidth(.75)); | ||
| + | draw((-1.7,0)--(0,0)--(1.7,0),dot); | ||
| + | draw((0,0)--(0,.98),dot); | ||
| + | MP("A",(-1.7,0),W);MP("B",(1.7,0),E);MP("M",(0,0),S);MP("C",(0,1),N); | ||
| + | </asy> | ||
| + | |||
| + | A parabolic arch has a height of <math>16</math> inches and a span of <math>40</math> inches. The height, in inches, of the arch at the point <math>5</math> inches from the center <math>M</math> is: | ||
<math>\text{(A) } 1\quad | <math>\text{(A) } 1\quad | ||
Revision as of 22:40, 30 September 2014
Problem
![[asy] draw(arc((0,-1),2,30,150),dashed+linewidth(.75)); draw((-1.7,0)--(0,0)--(1.7,0),dot); draw((0,0)--(0,.98),dot); MP("A",(-1.7,0),W);MP("B",(1.7,0),E);MP("M",(0,0),S);MP("C",(0,1),N); [/asy]](http://latex.artofproblemsolving.com/f/b/1/fb1e7567daf504db9ed16914050e267f81e4902c.png)
A parabolic arch has a height of 
inches and a span of 
inches. The height, in inches, of the arch at the point 
inches from the center 
is:
Solution
See also
| 1969 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 25 |
Followed by Problem 27 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
