1. Introduction to Engineering Technology, 7 th ed. Pond and Rankinen © 2009Pearson Education, Upper Saddle River, NJ 07458. All Rights Reserved. 1 Introduction to Engineering Technology Seventh Edition Robert J. Pond & Jeffery L. Rankinen Chapter 6 Right-Triangle Trigonometry and Geometry for Technologists

2. Introduction to Engineering Technology, 7 th ed. Pond and Rankinen © 2009Pearson Education, Upper Saddle River, NJ 07458. All Rights Reserved. 2 Right-Triangle Relationships Carpenters still use 3- 4-5 TriangleCarpenters still use 3- 4-5 Triangle Pythagorean TheoremPythagorean Theorem ► Three angles total 180º ► For a right triangle, angles A and B total 90º

3. Introduction to Engineering Technology, 7 th ed. Pond and Rankinen © 2009Pearson Education, Upper Saddle River, NJ 07458. All Rights Reserved. 3 Trigonometric Functions

4. Introduction to Engineering Technology, 7 th ed. Pond and Rankinen © 2009Pearson Education, Upper Saddle River, NJ 07458. All Rights Reserved. 4 Trig Example Find the total impedance, Z T, and the angle, θ, of the ac circuit below.Find the total impedance, Z T, and the angle, θ, of the ac circuit below.

5. Introduction to Engineering Technology, 7 th ed. Pond and Rankinen © 2009Pearson Education, Upper Saddle River, NJ 07458. All Rights Reserved. 5 Alternating Current and Voltage Generator produces sinusoidal voltage and currentGenerator produces sinusoidal voltage and current Example: Solve for the voltage of the sine wave at t = 3 ms and 7 ms. The period of the sine wave is T = 1/f = 1/60 = 16.7 ms.Example: Solve for the voltage of the sine wave at t = 3 ms and 7 ms. The period of the sine wave is T = 1/f = 1/60 = 16.7 ms.

6. Introduction to Engineering Technology, 7 th ed. Pond and Rankinen © 2009Pearson Education, Upper Saddle River, NJ 07458. All Rights Reserved. 6 Geometry Applications Example: A cylindrical refinery tank is 35 ft high and 25 ft in diameter. Find the amount of paint, in square feet of coverage, to paint the tank and the amount of fuel oil it contains in gallons.Example: A cylindrical refinery tank is 35 ft high and 25 ft in diameter. Find the amount of paint, in square feet of coverage, to paint the tank and the amount of fuel oil it contains in gallons.