Chapter 10 - NCPN

5 Juan decided to place a large scarecrow in his rice patty to keep the crows from
ravaging his crop. The scarecrow is 20 feet tall. The angle of the elevation from
the top of the scarecrow’s shadow to the top of the scarecrow has a cosecant
of 1.03.
a. What is the measure of the angle of elevation from the top of the
scarecrow’s shadow to the top of the scarecrow 75.9°
b. What is the distance from the top of the scarecrow’s shadow to the top of
the scarecrow Round to the nearest tenth of a foot. 20.6 ft
c. What is the length of the scarecrow’s shadow Round to the nearest tenth
of a foot. 5.0 ft
Business &
Marketing
6 Ronaldo has a kiosk at the local mall where he sells earrings. One of Ronaldo’s
customers wants to purchase a 24-carat gold-plated triangular earring.
Ronaldo charges $1.75 per mm 2 of gold. Two of the sides of the earring have
measurements of 11 millimeters and 12 millimeters, respectively. The angle
between the two sides measures 43°. The customer has $75.
a. What is the area of the 24-carat gold-plated triangular earring that the
customer wants to purchase Round to the nearest tenth. 45.0 mm 2
b. Does the customer have enough money to purchase the earring no
7 Marissa owns a 24-hour paper-recycling plant. There always exists some paper
waiting to be recycled in the plant. Marissa found the range of the amount of
paper waiting to be recycled is 2 tons, with 4 tons being the most that is ever
waiting to be recycled and 2 tons being the least that is ever waiting to be
recycled. Marissa also found that the amount of paper waiting to be recycled,
in tons, can be represented by a sine curve with an amplitude of 1 and an offset
of 3, and the curve goes through 1 cycle every 360 days. The offset of a sine
curve is the number of units the axis about which the sine curve is oscillating
is above or below 0. On Monday at 12:00 p.m., Marissa noticed the amount of
paper waiting to be recycled was 3 tons and the amount of paper waiting to be
recycled was increasing.
a. How many tons of paper will be waiting to be recycled at 12:00 p.m.
123 days from Monday Round to the nearest tenth. 3.8 tons
b. How many tons of paper will be waiting to be recycled at 12:00 p.m.
206 days from Monday Round to the nearest tenth. 2.6 tons
c. How many days from Monday will the amount of paper waiting to be
recycled be the greatest 90
d. How many days from Monday will the amount of paper waiting to be
recycled be the least 270
498 Chapter 10 Trigonometric Functions and Identities