Transcript Trig Applications
Trig Applications
Examples
SWBAT
Identify and distinguish between angles of elevation and angles of depression Draw diagrams and use trigonometric ratios to model and solve right triangles in applied situations.
Example #1
Fiona has been locked in a tower guarded by an evil dragon and Shrek needs to save her. The only way to get to her is through a window which is 90 feet above the ground. While Shrek was taking a class at The Home Depot to learn how to paint his house, he learned that a ladder should be placed at a 65 ° degree angle with the ground. How long must the ladder be in order for Shrek to reach the window?
Example #2
An airplane rises vertically 1000 feet over a horizontal distance of 1 mile. What is the angle of elevation of the airplane’s path?
Example #3
The pilot of a plane flying 5000 feet above sea level observes two ships in line due east. The measurements of the angles of depression are 30 ° and 39°. How far apart are the ships?
Lesson Check
Answer questions 1-8 on page 518 of your book.
Homework
Page 511 (28, 29, 33-38 all)
and
Page 519 (10-16 evens, 17-24 all, 33, 34) That’s only 22 problems!
Closing Activity