the height of a particular tree is increasing at the rate of 10cm per month. What would be height of the tree after 5 years if its present height is 10m?
To find the height of the tree after 5 years, we need to determine the total increase in height over that period of time.
Given:
Rate of increase: 10 cm per month
Present height: 10 m
We need to convert the present height from meters to centimeters:
10 m = 10 * 100 cm = 1000 cm
Next, we need to calculate the total increase in height over 5 years. Since the rate is given per month, we can multiply the rate by 12 to get the rate per year:
10 cm/month * 12 months/year = 120 cm/year
Now, we can calculate the total increase in height over 5 years:
Total increase = rate per year * number of years
Total increase = 120 cm/year * 5 years = 600 cm
Finally, we can find the height of the tree after 5 years by adding the total increase to the present height:
Height after 5 years = Present height + Total increase
Height after 5 years = 1000 cm + 600 cm = 1600 cm
Therefore, the height of the tree after 5 years would be 1600 cm.