Chapter 10 - NCPN

Family &
Consumer
Science
11 Tamika is taking rowing lessons.
She is learning the term layback,
which is the position of the
upper body at the end of a
rowing stroke. Tamika’s coach
told her at the end of a rowing
stroke, her upper body should
be leaning slightly backward, but
it should not be leaning more
than 10° backward from vertical.
If the measure of the angle at
which Tamika is leaning slightly
backwards is represented by θ,
then 5sin θ cos θ – 4.9sin θ = 0.
Tamika wants to solve for θ so
she knows whether or not she is
following her coach’s instructions.
a. What method can Tamika use to help solve for θ factoring
b. Is Tamika following her coach’s instructions no
c. If the measure of the angle at which Tamika is leaning slightly backwards is
represented by θ, and 10sin θ cos θ – 9.9sin θ = 0, is Tamika following her
coach’s instructions yes
12 The length of the diameter of Anna’s clock is 18 inches. At a given time,
the central angle between the hour hand and the minute hand is 3 ≠ radians.
20
At a second time the central angle between the hour hand and the minute hand
on the clock is 39°.
a. What is the length of the intercepted arc of the hour hand and the minute
hand at the first time 27 ≠ in.
20
b. Which is greater, the central angle between the hour hand and the minute
hand at the first time or the central angle between the hour hand and the
minute hand at the second time the central angle between the hour hand and the
minute hand at the second time
500 Chapter 10 Trigonometric Functions and Identities