Free Printable Trig. Quiz - Naming sides and finding ratios MFM2P

1.

How do you locate the hypotenuse on a right triangle?

a)

It's across from angle A.

b)

It's always on the left side.

c)

It's across from the right angle.

d)

It is the shortest side.

2.

From <C, what side is BC?

a)

Adjacent

b)

Opposite

c)

Hypotenuse

3.

From <C, what side is AB?

a)

Adjacent

b)

Opposite

c)

Hypotenuse

4.

From <C, what side is AC?

a)

Adjacent

b)

Opposite

c)

Hypotenuse

5.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

6.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

7.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

8.

Which trigonometric ratio is correct? Hint: SOH CAH TOA

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

9.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

10.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

11.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

12.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

13.

Ava is flying a kite, which gets caught in the top of a tree. The height of the tree represents one side in a right triangle, relative to (based on) the measured angle. What side is the tree?

a)

opposite

b)

adjacent

c)

hypotenuse

14.

Find the value of each trig ratio to the nearest thousandths.
$\sin\left(56^{\degree}\right)$ .

Hint: You need a scientific calculator. Go to desmos.com/scientific on-line (linked in GC) if you do not have one.

a)

0.514

b)

0.829

c)

1.463

d)

0.558

15.

Find the value of each trig ratio to the nearest thousandths.
$\cos\left(68^{\degree}\right)$

a)

0.927

b)

0.375

c)

2.475

d)

0.440

16.

Find the value of each trig ratio to the nearest thousandths.
$\tan\left(87^{\degree}\right)$
Hint: You need a scientific calculator. Go to desmos.com/scientific on-line (linked in GC) if you do not have one.

a)

0.999

b)

19.081

c)

0.052

d)

0.558

17.

Given <Z, find the Sin Z ratio.
Hint: SOH CAH TOA

a)

$\frac{8}{17}$

b)

$\frac{15}{17}$

c)

$\frac{8}{15}$

18.

Find the ratio where <A is the measured angle.
$\cos\ A$
Hint: SOH CAH TOA

a)

$\frac{35}{37}$

b)

$\frac{12}{37}$

c)

$\frac{12}{35}$

19.

Given <Z , identify the 3 sides, then state the ratio:
$\tan\ Z$

Hint: SOH CAH TOA

a)

$\frac{27}{45}=\frac{3}{5}$

b)

$\frac{36}{45}=\frac{4}{5}$

c)

$\frac{27}{36}=\frac{3}{4}$

20.

Choose the correct ratio.

a)

$\sin Z=\frac{5}{13}$

b)

$\cos\ Z\ =\ \frac{5}{13}$

c)

$\tan Z=\frac{5}{13}$

Trig. Quiz - Naming sides and finding ratios MFM2P

Total questions: 20

Worksheet time: 3hrs 50mins

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