Question

PARAGLIDING Sofia paraglides off a cliff that is 840 meters above the ground.

She lands a horizontal distance 321 meters away from the base of the cliff.
When the ratio of the distance Sofia has traveled to the distance she has left to
travel is 1:2, what is her horizontal distance from the cliff?

Answer 1

9514 1404 393

Answer:

107 m

Explanation:

The total distance of 321 meters is the sum of the distance she has traveled and the distance she has left to travel. In terms of ratio units, it is 1+2 = 3. If 321 meters is represented by 3 ratio units, then each one is 321/3 = 107 meters.

The distance traveled of 1 ratio unit is 107 meters.

Sofia is 107 meters from the cliff when her traveled : remaining ratio is 1 : 2.

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Additional comment

Sofia manages a horizontal distance of 321/840 ≈ 0.38 of the height from which she starts. Modern paragliders are capable of glide ratios of 9.3 or better, so Sophi could land as far as 7812 meters from the cliff.