Trigonometry Day 2 Need Class Sets (1/2 set for sleeves) for today: Applications for Trig. – Angles of Elev. & Depr.

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Right Triangle Trigonometry

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Trigonometry Day 2 Need Class Sets (1/2 set for sleeves) for today: Applications for Trig. – Angles of Elev. & Depr.

Warm Up X = 7.04X = 7.83X = 11.03X = 2.26X = 6.38 sincossintan

Homework 1.3/4 3.4/ / /5

Reminder of Clinometer Assembly to be ready Tomorrow. ALL parts must be ready and assembled BEFORE class for credit!

Finding missing angles with the Trigonometric Ratios To find missing angle measures, set up the trigonometric ratios. Then, you’ll have to do the inverse of the trig function to both sides. NOTE: the inverse of the trig function and the trig function itself cancel out! TIP: The inverse looks like the trig function with a -1 exponent.

Finding angles using Tangent (TOA) Ex 4: Find tan A and tan C. Ex 5: Find A and C.

The Sine and Cosine Ratios You Try! Ex 6: Find x and y. Ex 7: Find n. X = 12 (use sin) Y = 5 (use cos) n = 33.4 ˚ (use sin)

Finding Missing Angles Ex 8: Find x. X 3 5 x = 53.1 ˚ (use cos)

Applying Right Triangle Trigonometry The top of a lighthouse is 50 feet above sea level. Suppose a lighthouse operator sees a sailboat at an angle of 22 o with a horizontal line straight out from his line of vision. The angle between the horizontal line and the line of sight is called the ANGLE OF DEPRESSION At the same time, a person in the boat looks up at an angle of ____ with the horizon and sees the operator in the lighthouse. This angle is called the ANGLE OF ELEVATION 22 o

NOTE: The measure of the angle of depression = the measure of the angle of elevation. The distance to the lighthouse from the sailboat can be found by

People at points X and Y see an airplane at A The angle of elevation from X to A is ____________. The angle of depression from A to X is ____________. The angle of depression from A to Y is ____________. The angle of elevation from Y to A is ____________. 35 degrees 23 degrees

You Try! Ex. Karen drives 25 km up a hill that is a grade of 14. What horizontal distance has she covered? 25 km 14 o x X = 24.3⁰

Practice Notes p. 5 Angle of Elevation and Angle of Depression Practice

Solutions m (sin) ft (tan) ° (sin -1 ) ft (tan)

Triangle Trig Applications Practice Practice Worksheet Applications for Trig – Angles of Elev. & Depr. HINT: Draw a picture first!! Complete on a separate piece of paper!

Triangle Trig Applications Answers m (tan) m (tan) m (sin) ⁰ (cos -1 ) m (sin) m (cos) m (tan)

Homework Pg 3 even and Pg 4 all