A flagpole casts a shadow that is 30 feet long A sign Post near the flagpole is 4 feet tall and cast a shadow that is 6 feet long how tall is the flagpole

20 ft

Step-by-step explanation:

Given;

Length of flagpole shadow = 30 ft

Sign post height = 4 ft

Length of sign post shadow = 6 ft

Since the two objects are close to each other (the same location)

The height and shadow length of the two objects follows the same ratio, just like similar triangles;

Using the Ratio or similar triangles Formula;

height of flagpole/flagpole shadow length = height of sign post/ sign post shadow length

Substituting the values;

h/30 = 4/6

h = 4/6 × 30 = 20 ft

Flagpole height = 20 ft

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.