Pre-Calculus Section 4.8 Application Problems

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

1. Solve the right triangle B c a 34.2° C 19.4 cm A

2. Solve the right triangle B c 6 in C 12 in A

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

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.

Angle of Elevation Angle of Depression

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.

2. From the time a small airplane is 100 feet high and 1600 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.

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

S 35° E N 80° W N 45° E

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.

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.?

Homework: Page 337 2 – 20 Evens Quiz Wednesday

Homework: Page 338 - 340 22 – 28 Evens 32 – 36 Evens 40 Quiz Wednesday