Similar Triangles and Trig.

Similar triangles have:

• The same angles and equal sides

• Proportional angles

• Equal angles and proportional sides

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

• x = 1

• x = 3

• x = 9

• x = 5

Solve the proportion.

 $\frac{x}{3}=\frac{50}{15}$  

•  $x=5$  
  

•  $x=10$ 

•  $x=250$  

•  $x=30$  

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

• the sine ratio

• the cosine ratio

• the tangent ratio

• the pythagorean theorem

Which of the following would we use to find the length of  $w$ ?

•  $\sin40\degree=\frac{w}{28}$  

•  $\cos40\degree=\frac{w}{28}$  
  

•  $\tan40\degree=\frac{w}{28}$  
  

•  $\sin40\degree=\frac{28}{w}$  
  

Which of the following represents $\sin A$ ?

•  $\frac{32}{40}$  
  

•  $\frac{32}{24}$  
  

•  $\frac{24}{40}$  
  

•  $\frac{24}{32}$  
  

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

•  $12.6155$  

•  $7.386$  

•  $0.0513$  

•  $19.4963$  
  

Solve for $x$  if $\cos25\degree=\frac{x}{14}$  

•  $350$  
  

•  $0.9$  
  

•  $12.7$  

•  $14.4$  

Solve for $x$  if  $\tan30\degree=\frac{5}{x}$  .

• 8.7

• 2.9

• 0.6

• 0.1

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

 

 

• opposite

• adjacent

• hypotenuse