The diagram shows an 84 m building with a flagpole outside. the shadows of the building and the flagpole end at point c. what is the height of the flagpole?

choices:
6m,
8.25m,
12m,
16.5m,

D. 16.5 meters.

Step-by-step explanation:

We have been given a diagram and we are asked to find the height of the flagpole.

We can see that if we draw a line from point C to the top of the building, it passes through the top of flagpole.

Since flagpole and building forms two right triangles with a common vertex C, so we will use proportions to solve for the height of flagpole as:

Therefore, the height of flagpole is 16.5 meters and option D is the correct choice.

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e

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.