Joel is zip lining in the mountains. if the vertical distance from his platform to the next platform is 304 yards and the angle of depression is 21 degrees, find the length of the zipline

  848.3 yards

Step-by-step explanation:

If Joel were to draw a diagram of his zipline, he would see that it is the hypotenuse of a right triangle with a leg of length 304 yards opposite the angle of 21 degrees. The sine relation comes into play when these values are given:

  Sin = Opposite/Hypotenuse

The hypotenuse can be found as ...

  Hypotenuse = Opposite/Sin

  zipline length = (304 yd)/sin(21°)

  zipline length ≈ 848.3 yd

step-by-step explanation:

goog be able to you with that maybe

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.