before finding the area of the circle.
38 . J The length of the ramp is the hypotenuse of the right triangle formed by the height of the ramp,
the height of the pool, and the ground. The only length you are given is the height of the pool,
which is 3 yards. The length of the ramp will be the hypotenuse of this triangle, so use
SOHCAHTOA. In this case, sin48° = . Substitute the approximation sin48° ≈ 0.74 into
your equation to get 0.74 = , or ramp = ≈ 4.1 yards when rounded to the nearest
0.1 yards.
39 . B First, find the volume of the pool to figure out how much water needs to be pumped into the
pool. The formula for volume of a rectangular box is V = l·w·h, so Vpool = 20.10.3 = 600
cubic yards. In the explanation above the figure, you are given that the water pump fills the
pool at an average rate of 70 cubic yards per hour. So, to find the amount of time it takes to
fully fill the pool, divide the entire volume by the rate given, which is ≈ 8.6 hours,
which is (B). If you selected (A), you may not have rounded correctly.
40 . K Shapes that are geometrically similar to one another have sides that are proportional in
length. Since you know that the height of the original pool is 3 yards, and the length of the
longest side is 20 yards, you can set up the proportion , where x is the length of
the longest side in the new pool. Cross-multiplying gives you 3x = 90, and x = 30 yards for
the length of the longest side of the new pool. If you chose (G), be careful: you may have
reversed the terms in the proportion, and if you chose (H), you may have found the new
length of the wrong side.
41 . E To find the perimeter of the quadrilateral ADEC, find the lengths of sides AD and EC. Since
DE is parallel to AC, draw a line from point D perpendicular to AC and a line from point E
also perpendicular to AC. The lengths of each of these segments is 8 inches because parallel
lines are always the same distance apart from each other. Therefore, this rectangle has length
8 inches and width 5 inches with two smaller right triangles on either side. Since triangle
ABC is isosceles, the base of each of the right triangles is exactly half of the remaining length
