Name: _____________________________
MFM 2P TEST REVIEW
Trigonometry
SOH CAH TOA
1. Multiple Choice. Clearly write the most correct answer to each question in the
space provided beside the question.
_______ Given the diagram below. Which trigonometric function would you
use to solve for side x?
a) Sine
b) Cosine
c) Tangent
d) Either sine or tangent
2. Multiple Choice. Clearly write the most correct answer to each question in the
space provided beside the question number.
_______ Given the diagram below. Which of the following trigonometric
ratios is incorrect for angle C.
24
a) cos 𝐶 = 25
b) tan 𝐶 =
24
7
7
c) sin 𝐶 = 25
d) None of the above, they are all correct.
SOH CAH TOA
2
3. Multiple Choice. Clearly write the most correct answer to each question in the
space provided beside the question number.
_______ The best definition for the angle of depression would be:
a)
b)
c)
d)
The angle measured down from a horizontal line.
The angle measured up from a horizontal line.
The angle measured to the right of a vertical line.
The angle measure is always 90 degrees.
4. True or False. Clearly write the letter T or F beside each statement. If it is
unclear which letter you have written, the question will be marked wrong.
a. ______ To calculate angle A, given tan A = 7.12, you must press tan 7.12
in your calculator.
b. ______ Cosine is defined to be hypotenuse over adjacent.
c. ______ The tangent of 15 is 0.2679.
d. ______ The sine ratio of an angle can equal 2 or higher.
e. ______ The side across from the right angle is called the opposite.
5. SOHCAHTOA stands for:
S_____________________
O_____________________
H_____________________
C_____________________
A_____________________
H_____________________
T_____________________
O_____________________
A_____________________
3
SOH CAH TOA
6. Determine the sine, cosine or tangent of each angle to four decimal places.
a. sin 65 = ___________
b. tan 28 = ___________
c. cos 34 = ___________
d. sin 59 = ____________
7. Determine  A to the nearest degree. [Hint -1]
a. cos A = 0.2398
b.
sin 𝐴 =
3
8
c. tan A = 2.7
d.
cos 𝐴 =
A = ___________
A = ___________
A = ___________
7
15
A = ___________
8. For the right triangle below. Write the specified ratio. E.g. cos 𝐵
=
55
.
73
Do not solve.
a. cos A =
A
73
b. tan A =
48
c. sin B =
C
B
55
SOH CAH TOA
9. Calculate the value of x to one decimal place.
a.
18cm
35
x
b.
x
63
27
c.
3.2 m
43
x
d.
26
x
14
4
SOH CAH TOA
10. Calculate each value of angle A to the nearest degree.
a.
15
?
A
22
b.
3.2
?
A
1.7
A
c.
7.8
?
11.2
d.
?
27
31
A
5
SOH CAH TOA
6
11. A ladder is 15m long. It leans against a wall. The ladder reaches 13 meters
up the wall.
a. Calculate the angle between the ground and the ladder. If the angle is
between 62 and 68 then the ladder is safe to climb. Is the ladder safe to
climb?
b. Determine the distance from the base of the wall to the ladder. [Hint: you
may use Pythagorean theorem or SOHCAHTOA]
12. A hydro pole and a tree are 30 m apart. From a point midway between them,
the angle of elevation to the top of the tree is 27, and the angle of elevation
to the top of the hydro pole is 33. How much taller is the hydro pole than the
tree? Draw a beautiful diagram.