Page 700 - Basic College Mathematics with Early Integers

S E C T I O N 9.6 I CONGRUENT AND SIMILAR TRIANGLES 677

33. Samantha Black, a 5-foot-tall park ranger, needs to 34. Lloyd White, a firefighter, needs to estimate the
know the height of a tree. She notices that when height of a burning building. He estimates the length
the shadow of the tree is 48 feet long, her shadow is of his shadow to be 9 feet long and the length of the
4 feet long. Find the height of the tree. building’s shadow to be 75 feet long. Find the
approximate height of the building if he is 6 feet tall.

35. If a 30-foot tree casts an 18-foot shadow, find the 36. If a 24-foot flagpole casts a 32-foot shadow, find the
length of the shadow cast by a 24-foot tree. length of the shadow cast by a 44-foot antenna.
Round to the nearest tenth.

Review

Solve. See Section 5.3.
37. For the health of its fish, Pete’s Sea World uses the 38. A local package express deliveryman is traveling the
standard that a 20-gallon tank should house only 19 city expressway at 45 mph when he is forced to slow
neon tetras. Find the number of neon tetras that down due to traffic ahead. His truck slows at the rate
Pete would place into a 55-gallon tank. of 3 mph every 5 seconds. Find his speed 8 seconds
after braking.

Solve. See Section 4.6.
39. Launch Umbilical Tower 1 is the name of the gantry 40. Arena polo, popular in the United States and
used for the Apollo launch that took Neil Armstrong England, is played on a field that is 100 yards long and
and Buzz Aldrin to the moon. Find the height of the usually 50 yards wide. Find the length, to the nearest
gantry to the nearest whole number. yard, of the diagonal of this field.

50 yards ?
430 feet

100 yards

200 feet

Perform the indicated operation. See Sections 4.2 through 4.4.

41. 3.6 + 0.41 42. 3.6 - 0.41 43. (0.41)(3) 44. 0.48 , 3

Concept Extensions

1
45. The print area on a particular page measures 46. The art sample for a banner measures foot in width
3
7 inches by 9 inches.A printing shop is to copy 1
the page and reduce the print area so that its length by 1 feet in length. If the completed banner is to
2
is 5 inches.What will its width be? Will the print now have a length of 9 feet, find its width.
fit on a 3-by-5-inch index card?