Question

You are climbing a mountain that starts at sea level and reaches an elevation of 5000m. The distance traveled up the side of the mountain is 2km. What is the gradient of the mountain

Answer 1

Answer:

The gradient of the mountain is 2.5 m.

Explanation:

Given that,

Height = 5000 m

Distance = 2 km

Gradient of the mountain is the ratio of rise of y axis and rise of x axis.

We need to calculate the gradient of the mountain

Using formula of gradient mountain

$gradient\ mountain=\dfrac{rise\ y}{rise\ x}$

Put the value into the formula

$gradient\ mountain=\dfrac{5000}{2000}$

$gradient\ mountain=2.5\ m$

Hence, The gradient of the mountain is 2.5 m.

Answer 2

Answer:

         Gradient of mountain = 1 in 2.5    

Explanation:

  The elevation reached after climbing = 5000 m

  The horizontal distance traveled = 2 km = 2000 m

  The figure shows the arrangement of mountain, the red line is the climbing path.

  The gradient of the cliff is given by, 5000/2000 = 2.5

  So gradient of mountain = 1 in 2.5