Question

The height of a skydiver varies directly with the time he is in the air. The skydiver is 10,100 ft in the air after 60 seconds. What is the height the skydiver reaches after being in the air for 180 seconds?

Answer 1

The height of the skydiver after being in the air for 180 seconds is 30,300 ft.

Step-by-step explanation:

The height of a skydiver varies directly with the time he is in the air. This means that if the time is doubled, the height will also double. We can use this relationship to solve the problem.

Given that the skydiver is at a height of 10,100 ft after 60 seconds, we can set up a proportion to find the unknown height after 180 seconds:

(Height after 60 seconds) / 60 = (Height after 180 seconds) / 180

Using this proportion, we can cross-multiply and solve for the unknown height:

(Height after 60 seconds) * 180 = (Height after 180 seconds) * 60

Plugging in the given values, we have:

(10,100 ft) * 180 = (Height after 180 seconds) * 60

Solving for the unknown height:

(Height after 180 seconds) = (10,100 ft) * 180 / 60

Calculating the height, we find:

(Height after 180 seconds) = 30,300 ft