A man cycles up a hill whose slope is 1 in 20 with a velocity of `6.4 km h^(-1)` along the hill. The weight of the man and the cycle is 98kg. What work per minute is the man doing ? What is his horse power ?

Explanation

To solve the problem step by step, we will calculate the work done per minute by the man cycling up the hill and then convert that work into horsepower.

### Step 1: Understand the slope of the hill
The slope of the hill is given as 1 in 20. This means for every 20 units of horizontal distance, there is a vertical rise of 1 unit.

### Step 2: Calculate the angle of the slope
Using the slope, we can find the angle (θ) of the incline:
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