1. Pre-Calculus Section 4.8 Application Problems

2. Solve the right triangle: - use soh – cah – toa - when finding sides use sine, cosine, tangent - when finding angles use sin-1, cos-1 , tan-1 - sketch the triangle - find all of the missing parts - carefully label the answers - notation of sides vs angles

3. 1. Solve the right triangleB c a
34.2° C
19.4 cm A

5. 2. Solve the right triangleB c
6 in C
12 in A

7. 3. Find the altitude of the isosceles triangle.
52°
52°
8 in

9. 4. A ladder 20 ft. long leans against the side of a house
4. A ladder 20 ft. long leans against the side of a house. The angle of elevation of the ladder is 80°. Sketch the picture and find the height from the top of the ladder to the ground.

10. Angle of Elevation Angle of Depression

11. 1. From a point 65 feet in front of a church, the angles of elevation to he base of the steeple and the top of the steeple are 35° and 43°. Sketch the picture and find the height of the steeple.

13. 2. From the time a small airplane is 100 feet high and ground feet from its landing runway, the plane descends in a straight line to the runway. Sketch the picture and determine the plane’s angle of descent.

15. Bearings: (surveying and navigation) Fixed north-south line
Measures the acute angle
For air navigation
Measure clockwise from north.

16. S 35° E N 80° W
N 45° E

17. 5. A ship leaves port at noon and heads due west at 20 knots (20 nautical miles per hour). At 2 pm the ship changes course to N 54° W. Find the ships bearing and distance from the port of departure at 3 pm.

19. Pre-Calc Sec 4-8
6. A ship leaves port at noon and has a bearing of S 29° W. The ship sails at 20 knots. How many nautical miles south and how many nautical miles west will the ship travel by 6:00 p.m.?

21. Homework:
Page – 20 Evens Quiz Wednesday

22. Homework:
Page – 28 Evens 32 – 36 Evens 40 Quiz Wednesday