High School

Find the gradient corresponding to the following slopes:

a. A road falls 10 m for every 200 horizontal metres.

b. A cliff rises 35 metres for every 2 metres horizontally.

c. A plane descends 2 km for every 10 horizontal kilometres.

d. A submarine ascends 150 m for every 20 horizontal metres.

Answer :

Final answer:

The gradient for each slope is as follows: a. 1/20, b. 17.5, c. 1/5, d. 7.5.

Explanation:

a. To find the gradient, divide the change in vertical distance by the change in horizontal distance. In this case, the road falls 10 m for every 200 horizontal meters. So the gradient would be 10/200 or 1/20.

b. The cliff rises 35 metres for every 2 metres horizontally. To find the gradient, divide the change in vertical distance by the change in horizontal distance. So the gradient would be 35/2 or 17.5.

c. The plane descends 2 km for every 10 horizontal kilometres. To find the gradient, divide the change in vertical distance by the change in horizontal distance. So the gradient would be 2/10 or 1/5.

d. The submarine ascends 150 m for every 20 horizontal metres. To find the gradient, divide the change in vertical distance by the change in horizontal distance. So the gradient would be 150/20 or 7.5.

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