Transcript Document

40S Applied Math
Mr. Knight – Killarney School
Unit: Vectors
Lesson: VEC-L3
Solving Vectors
Using Technology
VEC-L3 Objectives:
Solve Vector Problems using Trigonometry &
Technology
Learning Outcome B-3
Slide 1
40S Applied Math
Mr. Knight – Killarney School
Unit: Vectors
Lesson: VEC-L3
First things first…
It’s assumed you know trigonometry, both
right-angle and non-right angle. If you need
to brush up, use the resources from the
TRIG REVIEW portion of the website.
Theory – Trig Spreadsheet
Slide 2
40S Applied Math
Mr. Knight – Killarney School
Unit: Vectors
Lesson: VEC-L3
Second things second…
Although you should be able to confirm all your trig
calculations by hand (pencil and calculator), you may
use the trig spreadsheet to crunch all your numbers.
Theory – Trig Spreadsheet
Slide 3
40S Applied Math
Mr. Knight – Killarney School
Unit: Vectors
Lesson: VEC-L3
Use trigonometry and the Pythagorean Relation to
solve the following problem.
Fran walks 3.5 km south from her house, and then 2.5
km east to her friend's house. Determine the
displacement from her home to her friend's home.
Example for Practice
Slide 4
40S Applied Math
Mr. Knight – Killarney School
Unit: Vectors
Lesson: VEC-L3
Use trigonometry and the Pythagorean Relation to
solve the following problem.
Fran walks 3.5 km south from her house, and then 2.5
km east to her friend's house. Determine the
displacement from her home to her friend's home.
Example for Practice
Slide 5
40S Applied Math
Mr. Knight – Killarney School
Unit: Vectors
Lesson: VEC-L3
Use Trigonometry to solve the following problem:
Two forces of 20 N and 30 N act on a body at an angle
of 50º to each other. Find the magnitude and
direction of the resultant, to the nearest newton and
the nearest degree.
Example for Practice
Slide 6
40S Applied Math
Mr. Knight – Killarney School
Unit: Vectors
Lesson: VEC-L3
Use Trigonometry to solve the following problem:
Two forces of 20 N and 30 N act on a body at an angle
of 50º to each other. Find the magnitude and
direction of the resultant, to the nearest newton and
the nearest degree.
Step 1: Sketch to visualize
Example for Practice
Slide 7
40S Applied Math
Mr. Knight – Killarney School
Unit: Vectors
Lesson: VEC-L3
Use Trigonometry to solve the following problem:
Two forces of 20 N and 30 N act on a body at an angle
of 50º to each other. Find the magnitude and
direction of the resultant, to the nearest newton and
the nearest degree.
Step 2: Solve using trig
Transfer
the 20 N
Get this Angle
(180 – 50,
supplementary angles)
Example for Practice
Two sides
and the
angle in
between to
get
Magnitude
Two sides
and one
opposite
angle for
direction
Slide 8