Chapter 12

12.1-12.2

100

Express 45°10'70" in decimal degrees.

45.31°

200

Use the cofunction identities to find the measure of the acute angle θ.
cos θ = sin 40°

θ = 50°

300

Express in degrees and minutes.
65.6°

63°36'

400

Find the values of six trigonometric functions of and angle θ in standard position whose terminal side passes through point P.
P = (8,15)

sin θ = 15/17
cos θ = 8/17
tan θ = 15/8
csc θ = 17/15
sec θ = 17/8
cot θ = 8/15

12.3-12.4

100

For the angle θ, name its quadrant and its reference angle.
θ = -305°

Quadrant 1, Reference angle = 55°

200

cot 78°15'
Find the decimal value.

cot 78°15' = 0.2080

300

Find the exact value of the six trigonometric functions of the angle 315°.

sin = (-√2)/2
cos = (√2)/2
tan = -1
cot = -1
sec = √2
csc = -√2

400

sin θ = -0.5212, 90° is less than θ is less than 270°
Find θ.

θ = 148.59°

12.5.12.6

100

How far from the base of a building is the bottom of a 30 foot ladder, that makes a 75° angle with the ground.

7.76 feet.

200

Find the indicated part of triangle"ABC", when angle C = 90°.
c=15, a=13, angle B=83°
Find side b.

b = 18.6

300

Sauron, the evil eye, just had surgery that lets his eye shoot lasers and is trying to kill all of the hobbits, but because of the surgery he can only look at the ground is 11°. If he is 9500m tall, how far must the hobbits be for him to kill them.

1846.61 meters

400

Find the indicated part of triangle"ABC", when angle C = 90°.
a=13, b=30, c=40
Find the smallest angle.

angle A = 13.8°

12.7

100

a = 14, angle A = 24°, angle B = 75°
Find side b.

b = 32.19

200

A US air-force pilot is loading a missile onto his fighter jet. If he needs to get 10 meteres up to load the missile and has a ramp that is 15 meters long, at what degree must he angle the ramp?

41.81°

300

Vick's custom-made shurikan is in the shape of an isosceles triangle. The base is 16 cm long. The sides meet at 35°. How long are the sides? Find the perimeter of Vick's shurikan.

The sides are both 5.16 cm. The perimeter 26.32 cm.

400

A demon sees two victims: Vick and David. It is on a roof 107.57 meters high. The angle of elevation from Vick to the demon is 46°. The angle of elevation from David to the demon is 61°. How far would the demon go if he through himself at Vick? What about David?

Vick; 149.40 meters David: 122.99 meters