Name: ______________________
Class: _________________
Date: _________
MPM2D0 Assignment Chapter 7
Similar Triangles and Trigonometry
ID: A
38 Marks
Level 1– limited understanding of all/most concepts; few correct answers; little communication; limited strategies
Level 2– basic understanding of some concepts; frequent errors; partial communication; simple strategies
Level 3 –good understanding of most concepts; minor errors; appropriate strategies; reasonable communication
Level 4– thorough understanding of all concepts; few / no errors; thorough communication; efficient strategies
Short Answer
1. Explain why you can conclude that
ABC ~
CDE. [3 Marks]
2. Determine the length of AB. [3 Marks]
1
Name: ______________________
ID: A
3. Bernie, who is 1.9 m tall, is walking away from a street sign that is 3.0 m tall. Draw a diagram that can be
used to calculate how far Bernie is from the street sign when his shadow measures 2.6 m. [3 Marks]
.
4. Calculate the measure of y to the nearest degree, using one of the trigonometric ratios. [3 Marks]
.
5. Determine the measure of θ, in cos θ =
3
, to one decimal place. [2 Marks]
5
.
6. a) State two trigonometric ratios you could use to determine x.[ 2 Marks]
b) Determine x to the nearest unit. [2 Marks]
.
2
Name: ______________________
ID: A
7. In ABC, ∠C = 90°, b = 1.4 cm, and c = 5.9 cm. Calculate ∠B to the nearest degree. Draw a diagram.
[4 Marks]
.
8. The rise of a rafter drops by 5 units for every 11 units of run.
Determine the angle of depression of the rafter. Draw a diagram [4 Marks]
.
9. A plane is flying at an altitude of 1500 m toward a ship. The angle of depression to the ship is 15°. How
far does the plane have to fly to end up directly over the ship? Draw a diagram. [ 4 Marks]
3
Name: ______________________
ID: A
Problem
10. For a ladder to be stable, the angle that it makes with the ground
should be no more than 78° and no less than 73°.
a) If the base of a ladder 7.50 m long is placed 2.60 m from a wall, will
the ladder be stable? Explain. [4 Marks]
b) What are the minimum and maximum safe distances from the base
of the ladder to the wall? Explain. [4 Marks]
4