A man is climbing up a mountain which is inclined. He has to travel 100 km to reach the top of the mountain. Every day He climbs up 2 km forward in the day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backwards because the mountain is inclined. Then how many days does it take him to reach the mountain top?

A man is climbing up a mountain.He has to travel 100 km to reach top of mountain. Every day He climbs up 2 km forward in day time.At night, while he is asleep, he slips down 1 km backward Then how many days does it take him to reach mountain top?

1st day height achieved 2km

1st night -1km

effective climb on beginning of day 2 is 1km

2nd day height achieved 3km

2nd night -1km

effective climb on beginning of day 3 is 2km

so on….

.

.

.

effective climb on beginning of day 98 is 97km

98th day height achieved 99km

98th night -1km

effective climb on beginning of day 99 is 98km

99th day height achieved is 100km

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°