Chapter 10 - NCPN

30. A stretch of highway has a 12° angle of incline. What is this angle
measure in radians ≠
15 radians
31. Kimmy skated from point A to point B along the outside of the
skating rink. How far did she travel Round your answer to the
nearest foot. 314 ft
32. The temperature, in degrees Fahrenheit, inside a refrigerator can
be modeled by the function y = 38 + 1.5cos ≠x , where x is the
10
number of minutes after the refrigerator’s motor begins to run.
448 Chapter 10 Trigonometric Functions and Identities
a. The warmest temperature inside the refrigerator occurs just as
the motor begins to run. What is this temperature 39.5ºF
b. The motor runs for 10 minutes until the air inside the
refrigerator is cooled to its lowest temperature. Then the
motor rests for 10 minutes before it begins to run. What is
the coolest temperature inside the refrigerator 36.5ºF
33. Nancy attaches a reflector to one of the spokes of her bicycle tire
for increased visibility in low light. The position of the reflector
relative to the ground as Nancy pedals down the street is given
by the function h(x) = 10 + 7sin 4πx. In the function, x is the
number of seconds since Nancy began pedaling, and h(x) is the
height, in inches, of the reflector above the ground.
a. How long does it take for the reflector to complete one
full rotation Verify your answer by substituting it into the
function. 0.5 s
b. What is the maximum height of the reflector above the
ground 17 in.
Mixed Review
State whether or not each infinite geometric series converges
or diverges. Then determine whether or not each series has
a sum.
d
)
∑ . ( )
∞
∑ (
d=
1
∞
34. 5 1 2
35. 045 10 9
b=
1
converges; has a sum
b
diverges; does not have a sum
36. A radio tower is located 10 miles east and 15 miles north of the
origin on a map of Reedsburg. The tower has enough power to
broadcast over a radius of 40 miles. Write an equation to model
the area of the broadcast of the radio tower.
(x – 10) 2 + (y – 15) 2 = 40 2