. A three-foot child casts a shadow that is five feet long. The height of a nearby flagpole is nine feet. Find the shadow length of the flagpole.
plz help
5/3 = x/9
Solve for x.
forgot to add this:
a. 15 feet
b. 11.4 feet
c. 12 feet
d. 5.4 feet
To find the shadow length of the flagpole, we can use a proportion:
The proportion is:
(child height) / (child shadow length) = (flagpole height) / (flagpole shadow length)
Step 1: Set up the proportion
Let's use "C" for child and "F" for flagpole:
(3 feet) / (5 feet) = (9 feet) / (F)
Step 2: Cross-multiply and solve for F
3 feet * F = 5 feet * 9 feet
3F = 45 feet
Step 3: Solve for F (flagpole shadow length)
F = 45 feet / 3
F = 15 feet
Therefore, the shadow length of the flagpole is 15 feet.