2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell at a constant rate of 25mm per
hour.
The typhoon slows down for an hour and started again at a constant rate of 20 mm
per hour for the next two hours. Write a piecewise function that models the amount
of rainfall as function of time.

The answer is below

Step-by-step explanation:

Let t represent the time in hour and A(t) represent the amount of accumulating rainfall at time t.

In the first three hours the rain fell at a constant rate of 25mm per

hour, hence:

A(t) = 25t     0 ≤ t ≤ 3

The rain then slows down and remains constant at 75 mm [i.e. 25(3)] for an hour.

The rain increases at a rate of 20t from 4 ≤ t ≤ 6. Hence the piecewise equation is given as:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2