Question 1152442

A building cast a shadow 18 feet long. A woman standing near the building is 5 feet 8 inches tall and casts a shadow 4 feet long. What is the height of the building in feet and inches?
<pre>Let height of building be H
Then we get: {{{matrix(1,7, H/18, "=", (5&2/3)/4,"____", H/18, "=", (17/3)/4)}}}
{{{matrix(1,3, 4H, "=", 18 * (17/3))}}} ------ Cross-multiplying
4H = 6(17)
Height of building, or {{{highlight_green(matrix(1,15, H, "=", 6(17)/4, "=", 3(17)/2, "=", 51/2, "=", 25&1/2, "feet,", "or", 25, "feet,", 6, inches))}}}