Do Now

Take your assigned graphing calculator

Solve for x.

Reminders/Announcements

Project due Wednesday 2/18

You have one hour today and one hour Tuesday to work on it

12.2 Worksheet due Wednesday 2/18

Tutoring this Friday instead of next Tuesday

One more opportunity to retake the similarity quiz this Friday

12.1 Questions?

Problem Solving with Right Triangles

Today’s Objectives

Use trigonometry to solve applied problems.

Apply inverse trigonometry.

Use problem solving skills.

Angles

Angle of elevation—the angle from the horizontal to your line of sight when you look up.

Angle of depression—the angle from the horizontal to your line of sight when you look down.

Example

The angle of elevation from a sailboat to the top of a 121-foot lighthouse on the shore measures 16o. How far is the sailboat from the lighthouse?

Practice

Valery is flying a kite directly over her friend Fernando, who is 125 meters away. When she holds the kite string down to the ground, the string makes a 39o angle with the level ground. How high is Valery’s kite?

Practice

Today’s Objectives

Use trigonometry to solve applied problems.

Apply inverse trigonometry.

Use problem solving skills.

Exit Slip

For the following problems, show your work and explain your reasoning.

1. Solve for a.

2. The angle of elevation from a ship to the top of a 42-meter lighthouse on the shore measures 33o. How far is the ship from the lighthouse? (Assume the horizontal line of sight meets the bottom of the lighthouse.)

a17 cm

320