A hiker begins at sea level and descends 25 feet every minute. How long will it take to get to an elevation of -750 feet?

30 minutes

Step-by-step explanation:

The hiker starts at sea level or 0 feet. He descends 25 feet every minute. This can be written in an equation as so, 0 acting as the starting point, f being feet, and m being minutes:

f = 0 - 25m

This simplifies to:

f = - 25m

We can substitute f in for -750

-750 = - 25m

Now, we divide by - 25 by both sides of the equation

-750 ÷ - 25 = 750 ÷ 25 = 30

30 = m

It would take 30 minutes for the hiker to get to - 750 feet in elevation.

I Hope That This Helps! :)

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.