5 4 Applying Trig Functions Objective Use trig

5. 4 Applying Trig Functions Objective: Use trig to find measures of the sides of right triangles.

Joke of the day! Why were the teacher’s eyes crossed? She couldn’t control her pupils.

Ex. 1) If J=50° and j=12, find r. G 12 r 50° 90° R Ex. 2) g J The chair lift at a ski resort rises at an angle of 20. 75° and attains a vertical height of 1200 feet. a. ) How far does the chair lift travel up the mountain? b. ) A film crew in a helicopter records an overhead view of a skier’s downhill run from where she gets off the chair lift at the top to where she gets back on the chair lift for her next run. If the helicopter follows a level flight path, what is the length of that path?

Ex. 3. ) A regular hexagon is inscribed in a circle with diameter 26. 6 cm. Find the apothem of the hexagon. apothem

Angle of Elevation: Angle of Depression: The angle between a horizontal line and the line of sight from the observer to an object at a higher level. The angle between a horizontal line and the line of sight from the observer to an object at a lower level.

Ex. 4. ) An observer in the top of a lighthouse determines that the angles of depression to two sailboats directly in line with the lighthouse are 3. 5° and 5. 75°. If the observer is 125 feet above sea level, find the distance between the boats.