A)14.1m
b)18.5m
c)22m
d)16.9m

B. 18.5m

Step-by-step explanation:

This involves the use of trigonometric ratios to find the lengths of missing sides. In this case, we are using the tangent ratio because we are given the adjacent leg to the angle and need to find the length of the side that is opposite of the angle. Tangent is the ratio of the opposite side to the adjacent side of the triangle.

x=height of flagpole

tan(40°)=x/22

tan(40°)*22=x/22*22

tan(40°)*22=x

x = 18.46

The height of the flagpole is 18.5m tall. Therefore b. 18.5m, is the correct answer.

a

step-by-step explanation:

a

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50