1. 5-4 Applying Trigonometric Functions Objective: Use trig to find the measures of the sides of right triangles.

2. Meet Sam. Hi Sam!

3. Sam has a dilemma. His cat Cuddles is stuck up a 30 foot tree. Sam hears it’s safest to angle his ladder at 57 o 34’ 1) How long must he extend his ladder? 2) How far away from the tree base should he place his ladder?

4. 1) How long must he extend his ladder? What do we know? What part of the triangle is the ladder?

5. 2) How far away from the tree base should he place his ladder? Which side represents the distance from base of ladder to base of tree? Which trig function should we use?

6. Now that Cuddles is safe, A little more basic… If J = 50 o and j = 12, find r. (J is angle, little j is side across from angle) G J R 12r g 50 o

7. Using Trig with Other Shapes Find the apothem (measure of a line segment from the center of the polygon to the midpoint of one of its sides) d = 26.6 inches

8. d = 23.4 inches r = a = When in doubt, look for right triangles!

9. Angles of Elevation and Depression What do you think of when you think of “elevation”? “Depression”?

10. An angle of elevation is the angle between a horizontal line and the line of sight from an observer to an object at a higher level. An angle of depression is the angle between a horizontal line and the line of level.

11. The angles of elevation and depression are equal in measure because they are alternate interior angles.

12. Turn to Page 301 to Follow Along On May 18, 1980, Mount Saint Helens, a volcano in Washington, erupted with such force that the top of the mountain was blown off. To determine the new height at the summit of Mt. St. Helens, a surveyor measured the angle of elevation to the top of the volcano to be 37 o 46’. The surveyor then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40 o 30’. Determine the new height of Mt. St. Helens.

13. Use Tangent Function to create two equations.

14. Extra work from volcano problem.

15. Homework Pg 302-303 #10-18e, 20, 26, 30, 31

16. Practice 5.4