A diver searches for a sunken treasure that is 97.2

feet below the surface. What is the diver's elevation when he is 23 of the way down? (1 point)
Responses

−48.5
ft.
negative 48 point 5 ft.

−64.8
ft.
negative 64 point 8 ft.

−32.4
ft.
negative 32 point 4 ft.

−145.8 ft.

1 answer

To find the diver's elevation when he is \( \frac{2}{3} \) of the way down to the treasure that is 97.2 feet below the surface, you can use the following calculation:

  1. Calculate how far the diver has gone down: \[ \text{Distance down} = 97.2 , \text{feet} \times \frac{2}{3} = 64.8 , \text{feet} \]

  2. Since the diver is going down, his elevation will be negative: \[ \text{Elevation} = -64.8 , \text{feet} \]

Thus, the diver's elevation when he is \( \frac{2}{3} \) of the way down is −64.8 ft. (negative 64 point 8 ft.).