The height of a windmill blade above the ground (in feet) is given by the functi

Question

The height of a windmill blade above the ground (in feet) is given by the function f where f(k)=12sin(0.5k)+20. Match the following expressions with the appropriate quantity.

sin(0.5k)

20

0.5

0.5k

12sin(0.5k)+20

12sin(0.5k)

k

match with

a.height of the blade above the horizontal diameter of the fan (in feet)

b.height of the blade above ground (in feet)

c.angle measure rotated from the 3 o'clock position (in radians)

d.height of the blade above ground (in radii)

e.height of the blade above the horizontal diameter of the fan (in radii)

f.height of the horizontal diameter of the fan above the ground (in feet)

g.number of seconds elapsed since windmill started rotating

h.height of the horizontal diameter of the fan above the ground (in radii)

i.speed of the blade (in feet per second)

j.speed of the blade (in radians per second)

Explanation / Answer

sin(0.5k): height of the blade above the horizontal diameter of the fan (in radii)

20: height of the horizontal diameter of the fan above the ground (in feet)

0.5: speed of the blade (in radians per second)

0.5t: angle measure rotated from the 3 o'clock position (in radians)

12sin(0.5k)+20: height of the blade above ground (in feet)

12sin(0.5k): height of the blade above the horizontal diameter of the fan (in feet)

k: number of seconds elapsed since windmill started rotating

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