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Similar Triangles and Trig.

Total questions: 10

Worksheet time: 25mins

Name
Class
Date
1.

Similar triangles have:

a)

The same angles and equal sides

b)

Proportional angles

c)

Equal angles and proportional sides

2.

The pair of figures is similar. Find the missing side length.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

3.

Solve the proportion.

 x3=5015\frac{x}{3}=\frac{50}{15}  

a)

 x=5x=5  

b)

 x=10x=10 

c)

 x=250x=250  

d)

 x=30x=30  

4.

Which of the following would help you solve for the missing angle?

a)

the sine ratio

b)

the cosine ratio

c)

the tangent ratio

d)

the pythagorean theorem

5.

Which of the following would we use to find the length of  ww ?

a)

 sin⁡40°=w28\sin40\degree=\frac{w}{28}  

b)

 cos⁡40°=w28\cos40\degree=\frac{w}{28}  

c)

 tan⁡40°=w28\tan40\degree=\frac{w}{28}  

d)

 sin⁡40°=28w\sin40\degree=\frac{28}{w}  

6.

Which of the following represents \sin A ?

a)

 3240\frac{32}{40}  

b)

 3224\frac{32}{24}  

c)

 2440\frac{24}{40}  

d)

 2432\frac{24}{32}  

7.

Solve for x  if  0.6155=x120.6155=\frac{x}{12}  .

a)

 12.615512.6155  

b)

 7.3867.386  

c)

 0.05130.0513  

d)

 19.496319.4963  

8.

Solve for x  if cos⁡25°=x14\cos25\degree=\frac{x}{14}  

a)

 350350  

b)

 0.90.9  

c)

 12.712.7  

d)

 14.414.4  

9.

Solve for x  if  tan⁡30°=5x\tan30\degree=\frac{5}{x}  .

a)

8.7

b)

2.9

c)

0.6

d)

0.1

10.

 In the diagram shown, is side  x opposite, adjacent or the hypotenuse, relative to the reference angle  70\degree  ?


 

 

a)

opposite

b)

adjacent

c)

hypotenuse