Download MAP4C T3: Trigonometry

MAP4C T3: Formative Trigonometry
Name:
Date:
Instructions: Please use good form and full solutions. Be sure to write your units if they are given in
the question. Start with the formula and fill in the numbers. Use a well labeled diagram.
1.
2.
3.
4.
5.
Label
Choose formula
Fill in the formula
Solve
Statement with units
B
Soh Cah Toa
c2  a2  b2
c
A
1.
2.
3.
sin A sin B sin C


a
b
c
a
b
a 2  b 2  c 2  2cbCosA
C
Circle the best answer(s) that represent when we use the Cosine Law.
a. AAA
b. AAS
c. SAS
d. SSS
e. SSA
Which situation cannot be solved using neither the Sine Law nor the Cosine Law? Circle
the best answer.
a. AAA
b. AAS
c. SAS
d. SSS
e. SSA
Which trigonometric ratio is best for determining an obtuse angle when we are using a grid?
6
a.
b.
c.
d.
Sine
Cosine
Tan
None of the above
4
2
-5
4.
5
Which trigonometric ratio cannot be used to determine if the angle is obtuse or acute when
we are using a grid?
6
a.
b.
c.
d.
Sine
Cosine
Tan
None of the above
4
2
-5
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5.
Which of the following properties can be used for any triangle
a. We can apply Soh Cah Toa
b. We can use Pythagorean theorem
c. The sum of the angles is 1800
d. There must be two acute angles in the triangle
Part B: Show the complete solutions clearly.
a.
1. Solve for the unknown indicated sides given the diagram
Solve for a
B
c
A
a
550
12 cm
C
Solve for c
B
b.
1100
Solve for a
a
6 km
250
b
A
Solve for b
c.
Solve for b
A
b
15 cm
1250
C
25 cm
B
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2. Solve for the indicated angle
a.
Solve for angle A
B
3 cm
9 cm
C
10 cm
A
Solve for angle B
b.
Solve for angle F
E
480
4.5 km
D
7.5 km
F
Solve for angle D
c.
S
22 cm
Solve for angle S
Q
35 cm
R
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Solve for angle R
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3.
Given the point P(-4, 6) and the graph do the
following:
a. Draw the point on the grid.
b. Create a right angle triangle with this point
on the grid.
c. Determine the obtuse angle.
6
4
2
-5
5
Part C: Word Problems from the textbook. p38 to 49
1.
Using video technology, a hurdler
measured the distances shown. The
distance from the takeoff point to
the top of the hurdle is 3.5 m. The
distance from the top of the hurdle
to the landing point is 2.4 m. The
distance from the takeoff point to
the landing point is 5.5 m. What is
the least angle of inclination the
hurdler’s trailing leg must make at
takeoff?
3.5 m
Takeoff
2.4 m
5.5 m
Landing
2.
Two radar stations that are 120 km apart located an aircraft on their screens. The first station reported the aircraft
to the north-east, at an angle of 38.50 with the east-west line formed by the stations. The second station reported a northwestward angle of 56.10 with that same line. How far from each station was the aircraft?
Use the top of the page for North and the right of the page for East. Draw a well labeled diagram.
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