Answer:
x = 9.6 meters
y = 20.98 meters
Shadow length = 11.38 meters
Step-by-step explanation:
By applying tangent rule in right triangle ABD,
tan(21)° =
tan(21) =
x = 25(tan 21)
x = 9.5966
x ≈ 9.60 meters
Similarly, by applying tangent rule in ΔABC,
tan(40)° =
tan(40)° =
tan(40)° =
y = 25(tan 40°)
y = 20.98 meters
Length of the shadow of the man = y - x
= 20.98 - 9.60
= 11.38 meters
Given:
In 2010, the population of a town = 2000
Every year, it increase by 1.5%
To find the equation P(t) which represents the population of this town t years from 2010.
Formula
If a be the original population of a town and it increases by b% every year, after t year the population will be
Now,
Taking, a =2000, b = 1.5 we get,
or,
Hence,
The population of this town t years from 2010 P(t) = , Option D.