Special Right Triangles and Trig

What is the length of y in this picture?

• 45

• $5\sqrt{2}$
  

• 90

• 5

• $\frac{5\sqrt{2}}{2}$

What is the length of x in this triangle?

• $4\sqrt{2}$

• 4

• 8

• $4\sqrt{3}$
  

• 2

What are the lengths of u and v in this triangle?

• $u=8,\ v=4\sqrt{3}$

• $u=4\sqrt{2},\ v=8$

• $u=16,\ v=8$

• $u=4\sqrt{3},\ v=8$

• $u=4,\ v=4\sqrt{2}$

Find the value of y.

• 9

• $18\sqrt{2}$

• $9\sqrt{2}$
  

• $\frac{9\sqrt{2}}{2}$
  

• $6\sqrt{3}$

Find a.

• 3

• $3\sqrt{3}$

• $6\sqrt{3}$
  

• $2\sqrt{3}$
  

• 9

Choose the correct value for

 $\sin\ X$  .

•  $\frac{12}{13}$  

•  $\frac{5}{13}$  

•  $\frac{12}{5}$  

•  $\frac{5}{12}$  

•  $\frac{13}{5}$  

Choose the correct value for

 $\tan\ Z$  .

•  $\frac{12}{13}$  

•  $\frac{5}{13}$  

•  $\frac{12}{5}$  

•  $\frac{5}{12}$  

•  $\frac{13}{5}$  

Which Trig function should you use?

• Sine

• Cosine

• Tangent

• None of these

What is the correct equation for this diagram?

• $\sin40\degree=\frac{w}{28}$

• $\cos\ 40\degree=\frac{w}{28}$

• $\tan40\degree=\frac{w}{28}$
  

• $\sin40\degree=\frac{28}{w}$
  

• $\cos40\degree=\frac{28}{w}$

Solve for x.

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

• 8.08 cm