MathDB
Parallel Curbs

Source:

January 1, 2009
geometryparallelogramsimilar triangles

Problem Statement

A street has parallel curbs 40 40 feet apart. A crosswalk bounded by two parallel stripes crosses the street at an angle. The length of the curb between the stripes is 15 15 feet and each stripe is 50 50 feet long. Find the distance, in feet, between the stripes. <spanclass=latexbold>(A)</span> 9<spanclass=latexbold>(B)</span> 10<spanclass=latexbold>(C)</span> 12<spanclass=latexbold>(D)</span> 15<spanclass=latexbold>(E)</span> 25 <span class='latex-bold'>(A)</span>\ 9 \qquad <span class='latex-bold'>(B)</span>\ 10 \qquad <span class='latex-bold'>(C)</span>\ 12 \qquad <span class='latex-bold'>(D)</span>\ 15 \qquad <span class='latex-bold'>(E)</span>\ 25