6 1 law of sines
Download
Skip this Video
Download Presentation
6.1 Law of Sines

Loading in 2 Seconds...

play fullscreen
1 / 16

6.1 Law of Sines - PowerPoint PPT Presentation


  • 93 Views
  • Uploaded on

6.1 Law of Sines. +Be able to apply law of sines to find missing sides and angles +Be able to determine ambiguous cases. Oblique Triangles. A is acute. A is obtuse. B. B. c. a. a. c. A. C. b. C. A. b. Solving Oblique Triangles.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '6.1 Law of Sines' - miron


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
6 1 law of sines

6.1 Law of Sines

+Be able to apply law of sines to find missing sides and angles

+Be able to determine ambiguous cases

oblique triangles
Oblique Triangles

A is acute

A is obtuse

B

B

c

a

a

c

A

C

b

C

A

b

solving oblique triangles
Solving Oblique Triangles
  • To solve oblique triangles you need one of the following cases
    • 2 angles and any side (AAS or ASA)
    • 2 sides and the angle opposite one of them (SSA)
    • 3 sides (SSS)
    • 2 sides and their included angle (SAS)
law of sines
Law of Sines
  • If ABC is a triangle with sides a, b, and c, then
example
Example
  • Find the missing sides and angles given the following information
    • C = 102.30
    • B = 28.70
    • b = 27.4 ft
word problem
Word Problem
  • A pole tilts towards the sun at an 80 angle from the vertical, and it casts a 22 foot shadow. The angle of elevation from the tip of the shadow to the top of the pole is 430. How tall is the pole?
ambiguous cases ssa h bsina
Ambiguous Cases (SSA)(h = bsinA)
  • A is acute
  • a < h
  • no triangles
  • A is acute
  • a = h
  • 1 triangle

a

b

b

h

a

h

A

A

more cases
More Cases
  • A is acute
  • a > b
  • 1 triangle
  • A is acute
  • h < a < b
  • 2 triangles

b

b

a

a

a

h

h

A

A

more cases1
More Cases
  • A is obtuse
  • a < b
  • no triangles
  • A is obtuse
  • a > b
  • 1 triangle

a

a

b

b

A

A

example1
Example
  • Find the missing sides and angles of the triangle given the following information
    • a = 22 in
    • b = 12 in
    • A = 420
determine how many triangles there would be
Determine how many triangles there would be?
  • A = 620 , a = 10, b = 12
  • A = 980 , a = 10, b = 3
  • A = 540 , a = 7, b = 10
finding two solutions
Finding two solutions
  • Find two triangles for which a = 12, b = 31, and A = 20.50
example2
Example
  • Find the missing sides and angles for the following information
    • a = 29
    • b = 46
    • A = 310
using sine to find area
Using Sine To Find Area
  • Area of an Oblique Triangle
find the area of the triangle
Find the Area of the Triangle
  • Find the area of a triangular lot having two sides of lengths 90 meters and 52 meters and an included angle of 102o.
word problem1
Word Problem
  • The course for a boat race starts at point A and proceeds in the direction S 52o W to point B, then in the direction S 40o E to point C, and finally back to point A. Point C lies 8 kilometers directly south of point A. Approximate the total distance of the race course.
ad