Free Printable AAT Unit 1 Test Review

1.

Which Law would you use?

a)

Law of Sines to find AC

b)

Law of Cosines to find AC

c)

Law of Sines to find AB

d)

Law of Cosines to find AB

2.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

3.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

4.

Which would you use to solve?

a)

Law of Sines

b)

Law of Cosines

c)

SOH CAH TOA

5.

Based on the given information determine the number of unique triangles that may exist.
J = 98°, j = 29, p = 6

a)

1 Triangle

b)

2 Triangles

c)

No Triangles

d)

3 Triangles

6.

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

a)

1 Triangle

b)

2 Triangles

c)

No Triangles

d)

3 Triangles

7.

Will this make 1 triangle, 2 Triangles, or No Triangles?

B= 70°, b=85, c=88

a)

1 Triangle

b)

2 Triangles

c)

No Triangles

8.

What is the area of this triangle to three decimal places?

a)

14.494 meters squared

b)

108.184 meters squared

c)

54.092 meters squared

d)

54.350 meters squared

9.

Which cases would you start with the Law of Cosines?

a)

SSA, SSS

b)

SSA, ASA

c)

SSS, SAS

d)

AAS, ASA

10.

Which cases would you start with the Law of Sines?

a)

SSA, SSS

b)

SSA, ASA, SAS

c)

SSS, SAS

d)

AAS, ASA, SSA

11.

True or False: To solve for the missing angle, you would use inverse sine.

a)

True

b)

False

12.

True or False: The area of this triangle is equal to $\frac{1}{2}\cdot340\cdot120\cdot\sin\left(59\right)$

a)

True

b)

False

13.

True or False: SOHCAHTOA ratios only apply to sides of a right triangle.

a)

True

b)

False

14.

True or false: the angle of elevation from the man to the airplane will have the same measure as the angle of depression from the airplane to the man.

a)

True

b)

False

15.

From a hot-air balloon, Madison measures a $36\degree$ angle of depression to a landmark that’s 785 feet away, measuring horizontally. If we would like to know the balloon’s vertical distance above the ground, which of the following correctly sets up a diagram to solve the problem?

a)

b)

c)

d)

16.

Bella leans a 20-foot ladder against a wall so that it forms an angle of $76\degree$ with the ground. What’s the horizontal distance between the base of the ladder and the wall rounded to the nearest tenth?

a)

4.8 feet

b)

82.7 feet

c)

5.0 feet

d)

80.2 feet

17.

True or False: The Law of Sines and Law of Cosines are true for any triangle, including right and oblique triangles.

a)

True

b)

False

18.

Given the triangle shown, which of the following shows a correct ratio for Sin(A)

a)

$\frac{h}{c}$

b)

$\frac{c}{h}$

c)

$\frac{a}{c}$

d)

$\frac{c}{a}$

19.

Given the triangle shown, which of the following shows the correct ratio for sin(C)

a)

$\frac{h}{a}$

b)

$\frac{a}{h}$

c)

$\frac{c}{a}$

d)

$\frac{a}{c}$

20.

Which of the following correctly shows the value of $\tan\left(\theta\right)$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{13}}{2}$

d)

$\frac{2\sqrt{13}}{13}$

21.

Which of the following correctly shows the value of $\sin\left(\theta\right)$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{13}}{2}$

d)

$\frac{2\sqrt{13}}{13}$

22.

Which of the following correctly shows the value of $\tan\left(\theta\right)$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{13}}{2}$

d)

$\frac{2\sqrt{13}}{13}$

23.

Which of the following correctly shows the value of $\cos\left(\theta\right)$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{\sqrt{13}}{2}$

d)

$\frac{2\sqrt{13}}{13}$

AAT Unit 1 Test Review

Total questions: 23

Worksheet time: 25mins

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