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

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