Day 43 Agenda: Quiz 8 --- 30 minutes

Unit #5: Introduction to Trig Accel Precalc Unit #5: Introduction to Trig Lesson 6: Solving Right Triangles EQ: How do you use trig to solve real-world problems? You will need notebook paper to work the example problems on today’s notes.

Part I: Solving Right Triangles Recall: Define the 6 Trig Functions

180˚ How many degrees are in a right triangle? How can we use that information to solve for all missing parts of a right triangle? 26.5˚ 63.5˚ 26.5˚ How can we use the trig ratios and these angles to find the missing sides? 63.5˚ 90˚

56 Let’s find side a first. 24.99 50.12 56 Now let’s find side b.

Try this one on your own. 30.6˚ 59.4˚ 30.6˚ 3.46 59.4˚ 5.85 90˚ 6.8

How is #3 different from #1 & #2? What does that tell us about the functions we need to use? must find angles must use inverse trig functions

Let’s find A first. 193 Now let’s find B. Find side b.

57.1˚ 76.7 49.6 32.9˚ 90˚ 91.3

When in ROME… 43˚40’ 86.3 46˚20’ 90.4 90˚ 125

25˚30’ 21.3 64˚30’ 44.7 90˚ 49.5

Assignment #1: Practice Worksheet #1 #1 – 6 only

Day 44 Agenda: DG20--- 12 minutes

Part II: Solving Word Problems using Right Triangle Trig Ex 7. Find the distance from point A to point C across the gorge illustrated in the picture.

Ex 8. A 13-foot ladder leaning against a building make a 70 angle with the ground. How far up the building does the ladder touch? 13’ 70

Angle of Depression Angle of Elevation What is the relationship between the angle of elevation and the angle of depression? They are congruent.  RECALL: 2 parallel lines cut by a transversal. 

Ex. 9 A ship off-shore from a vertical cliff known to be 100 feet in height takes a sighting of the top of the cliff. If the angle of elevation is found to be 25, how far off-shore is the ship? 100’ 25 

Assignment: Finish Practice Worksheet #1 Textbook p. 311 #57 – 61 odd Practice Worksheet #2 End of Unit 5 (test rev on blog)