Answer:
"4" represents that there are 4 rabbit in the beginning.
Step-by-step explanation:
Given that the population of a species of rabbit triples every year. This
can be modeled by function and
.
Now we need to find about what does the 4 represent in the given function.
We know that exponential function is given by . Where "a" represents the initial amount.
we have a=4 in given function .
So that means "4" represents that there are 4 rabbit in the beginning.
Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.
