1. Table of Contents
33. Application problems

2. Application problems
Std – MM2G2 Define and apply trig ratios to right triangles
Essential Question – How do you use trig ratios to solve real world problems?

3. Vocabulary
Line of sight – the line that your eye follows when looking at something
Angle of elevation – The angle between the horizontal and the line of sight when
looking up
Line of sight
Angle of Elevation

4. Angle of depression – The angle between the horizontal and the line of sight when looking down
If you flip the angle of depression over, you can see it is the same as the angle of elevation
Angle of Depression
Line of sight

5. Distance from the top, line of sight, ladder, ramp
Tall,
Height,
Altitude,
Above
Distance from the top, line of sight, ladder, ramp
Angle of Elevation
Angle of Depression
Ground, base, horizontal distance, shadow

6. Steps for word problems
Highlight key words in problem (from the previous slide)
Draw triangle (always make it in the same direction)
Put numbers on triangle that go with highlighted words
Solve for missing piece (like we’ve done before)

7. Example 1
Suppose you have been assigned the job of measuring the height of the local radio tower. From a point of 47.3 meters from the base of the tower, the angle of elevation is 53º to see the top of the tower. How high is the tower?
53º
47.3

8. Example 2
A lighthouse on the shore is 208 ft tall. There is a buoy that is 500 ft out into the ocean. Find the angle of depression from the lighthouse to the buoy.