Application of Trig Functions /
Mrs. Boddy
Chapter 7 – Assignment Guide
1/31 / R: / p. 536 1,5,9,21,25,29,33,43,45,51,55,59,61F: / p. 547 3,9,29,31,33,43
2/4 / M: / p. 555 1,5,13,17,25,29
T: / Review
W: / Ch 7 Quiz
Honors Pre-Calculus
7.1
Right Triangle Trigonometry
Learning Targets: Students will be able to solve right triangles and solve applied problems using right triangle trigonometry.
.
SOH-CAH-TOA
THM: Cofunctionsof complementary angles are equal.
Find the exact value of the six trigonometric functions of the angle in the figure below.
8.
Solve the right triangle. (They give you 3 pieces, you find the other 3, and )
28.
46. A ship is just offshore of New York City. A sighting is taken of the Statue of Liberty, which is about 305 feet tall. If the angle of elevation to the top of the statue is , how far is the ship from the base of the statue?
58. A security camera in a neighborhood bank is mounted on a wall 9 feet above the floor. What angle of depression should be used if the camera is to be directed to a spot 6 feet above the floor and 12 feet from the wall?
60. A ship leaves the port of Miami with a bearing of and a speed of 15 knots. After 1 hour, the ship turns toward the south. After 2 hours, maintaining the same speed, what is the bearing to the ship from the port?
Honors Pre-Calculus
7.2
Law of Sines
Learning Targets: Students will be able solve SAA or ASA triangles and solve applied problems using the Law of Sines.
Law of Sines– Used to solve non-right triangles where traditional trig would work.
Law of Sines is used when you are given the following information about a triangle:
A) ASA
B) AAS
C) SSA – ambiguous case (we will not be doing this year)
Law of Sines:
Triangle labels follow this pattern:
10. Solve for all missing parts, given that
34. The highest bridge in the world is the bridge over the Royal Gorge of the Arkansas River in Colorado. Sighting to the same point at water level directly under the bridge are taken from each side of the 880 foot long bridge. How high is the bridge?
40. The navigator of a ship at sea spots two lighthouses that she knows to be 3 miles apart along a straight seashore. She determines that the angles formed between two line of sight observations of the lighthouses and the line from the ship directly to shore are and.
A) How far is the ship from lighthouse A?
B) How far is the ship from lighthouse B?
C) How far is the ship from shore?
Honors Pre-Calculus
7.3
Law of Cosines
Learning Targets: Students will be able to solve SAS and SSS triangles and solve applied problems using the Law of Cosines.
Remember, Law of Sines is used if you are given: AAS or ASA
If you are given SSS or SAS, then you use the Law of Cosines.
Law of Cosines:
To find side:To find angle:
If SAS:
- Find missing side by law of cosines
- Find smallest angle by law of sines
- Subtract 2 angles from 180
If SSS:
- Find smallest angle by law of cosines
- Find next smallest angle by law of sines
- Subtract 2 angles from 180
10.
22.