Download presentation

Presentation is loading. Please wait.

Published byRalf Baker Modified over 7 years ago

1
© The Visual Classroom Trigonometry: The study of triangles (sides and angles) physics surveying Trigonometry has been used for centuries in the study of: astronomy geography engineering

2
© The Visual Classroom A B C adjacent h y p o t e n u s e opposite

3
A B C adjacent opposite h y p o t e n u s e

4
A B C opposite adjacent h y p o t e n u s e

5
A B C opposite adjacent h y p o t e n u s e

6
A B C opp adj hyp SOHCAH TOA

7
© The Visual Classroom A B C 8 6 10 op p adj hy p SOH CAH TOA

8
© The Visual Classroom A B C 3 4 5 adj opp hyp SOH CAH TOA

9
© The Visual Classroom A B C 5 12 13 adj opp hy p SOH CAH TOA

10
© The Visual Classroom sin 21° = cos 53° = tan 72° = 0.3584 0.6018 3.0777 Use a calculator to determine the following ratios. Be sure your calculator is set to degrees.

11
© The Visual Classroom sin A = 0.4142 cos B = 0.6820 tan C = 1.562 A = sin -1 (0.4142) B = cos -1 (0.6820) C = tan -1 (1.562) = 24° = 47° = 57° Determine the following angles (nearest degree).

12
© The Visual Classroom Determine the following angles (nearest degree). sin A = cos B = tan C = A = sin -1 (0.5833) B = cos -1 (0.2666) C = tan -1 (1.875) = 36° = 75° = 62° = 0.5833 = 0.2666 = 1.875

13
© The Visual Classroom A B C Example 1: Determine side measure of A 8 cm opp ad j SOH CAH TOA 13 cm tan A = 0.6154 A = tan -1 (0.6154) A = 31.6°

14
© The Visual Classroom A B C Example 2: Determine side b 55º b 8 cm b = 8 tan 55° b = 11.4 cm b = 8 (1.428) opp ad j SOH CAH TOA

15
© The Visual Classroom P Q R 12 cm 17 cm Example 3: Determine the measure of P. cos P = 0.70588 P = 45.1 P = cos –1 (0.70588) adjacent hypotenuse SOH CAH TOA

16
© The Visual Classroom Ex. 4: In PQR, Q = 90°. a) Find sin R if PR = 8 cm and PQ = 4 cm. R P Q 4 cm 8 cm b) Find cos R. RQ 2 = 8 2 – 4 2 RQ 2 = 64 – 16 RQ 2 = 48

17
© The Visual Classroom A B C Example 5: Determine the measure of B 3 cm opp ad j SOH CAH TOA 5 cm tan B = 1.6666 B = tan -1 (1.6666) B = 59.0°

18
© The Visual Classroom The slope of a wheelchair ramps is 1 12 What angle does the ramp make with the ground? A tan A = 0.0833 A = tan -1 (0.0833) A = 4.8° Ex 6:

19
© The Visual Classroom Ex. 7: From a distance of 20 m from the base a lighthouse the angle of elevation to the top of a lighthouse is 38º. Determine the height of the lighthouse. 38º h h = 20 tan 38° h = 20 (0.7813) h = 15.6 The lighthouse is 15.6 m high. 20 m h

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google