Do Now: A safety regulation states that the maximum angle of elevation for a rescue ladder is 72 degrees. If a fire department’s longest ladder is 110 feet, what is the maximum safe rescue height?

Algebra II Honors Pre-Calculus 4.8: Applications and Models Hw: p (21, 22, 26, 28, 32, 34, 38)

Example: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack is 35 degrees, and the angle of elevation to the top is 53 degrees. Find the height s of the smokestack alone.

Example: A swimming pool is 20 meters long and 12 meters wide. The bottom of the pool has a constant slant so that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end. Find the angle of depression of the bottom of the pool.

Trigonometry and Bearings In surveying and navigation, directions are given in terms of bearings. Example: S 35 o E means 35 o east of south. S 35 o EN 80 o W 35 o 80 o N N SS E E W W

p.363 (31) An airplane flying at 550 miles per hour has a bearing of N 58 o E. After flying 1.5 hours, how far north and how far east has the plane traveled from its point of departure?

Finding directions in terms of bearings A ship leaves port at noon and heads due west at 20 knots (naut. mph). At 2 pm the ship changes course to N 54 o W. Find the ship’s bearing and distance from the port of departure at 3 pm.

p.362 (20)