Lesson 5
Making Decisions Using Trigonometry
Whenever you are working on problem-solving, it is very important to read through the
question carefully and thoroughly understand the situation and identify the given information.
It is a good idea to draw a d

Solve Problems Using Trigonometric Ratios
The angle of elevation is also sometimes referred to as the angle of inclination. It is
the angle you look up through from the horizontal line of sight.
Angle of
Elevation
Horizontal Line of Sight
The angle of dep

Display Data
A graph is a visual representation of data that displays the relationship among the
variables. Graphs can summarize data and present data more clearly and concisely than a
table or written text.
Investigate 1:
Bar and Circle Graphs
Pp. 118 -

MBF 3C
Lesson 1
Probability Experiments
Probability is a measure of the likelihood that a specific event will occur. For example, what is the
probability that when two dice are rolled, both will show ones? What is the probability that a coin
will show hea

MBF3C Prerequisite Skills
Worksheet
Name:_
1.
You're locked out of your house and the only open window is on the second
floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors.
There's a bush along the edge of the house, so

The Cosine Law
Consider a strategy for solving the triangle and write it out step by step beside the diagram.
X
22 cm
Y
21
Z
18 cm
For any triangle, to find the measure of any given side, given the measures of the other two sides
and
their contained
angl

Lesson 1
Sampling Techniques
When conducting a survey, it is important to choose the right questions to be asked and to select the
appropriate group to survey. Before a market research department designs a survey, the target
group for the survey needs to

Worksheet on Theoretical Probability
Example 1: Determine Probabilities From a Tree Diagram
A spinner is divided into three equal regions as shown.
The spinner is spun twice. For each probability you determine,
express the answer as a fraction, a decimal,

Worksheet: Ratios, Unit Rates
Name:_
1.
Carmen earns $175 for 25 h of work. What is her rate of pay?
2.
Miro travelled 1360 km in 17 h. At this rate, how far would he travel in 24 h?
3.
The ratio of quarters to dimes in Romans bag is 13:7. If Roman has 10

Primary Trigonometric Ratios Problems
Name:_
1. If your distance from the foot of the tower is 20 m and
the angle of elevation is 40, find the height of the tower.
2.
The angle of depression from the top of the Castle
to boat is 25. If the textbook is 50

Primary Trigonometric Ratios
The primary trigonometric (trig) ratios can only be used with right triangles. They can
be used to find both the sides and the angles of these triangles, given enough
information.
Remember that we use capital letters to name a

Primary Trig Ratios
Exit Card
1.
Find the length of the side marked x.
2.
Find the length of the side marked y.
3.
Find the measure of the angle at B.
Primary Trig Ratios
Exit Card
1. Solve the following triangles. Round sides to one decimal place and ang

MBF 3C
Lesson 3
The Sine Law
An acute triangle is a triangle where all angles measure less than 90. An acute triangle
can be solved if you know:
Two angles and one side
An angle measure and two side
measures as long as one of the
sides is opposite the kno

Worksheet: Statistics
Name:_
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
1. What is the best sampling technique to use for determining the average speed of the cars on a
section of highway?
a. simple ra