Solving Triangles using Trig Ratios (I)

Sine of the reference angle  $\Theta$  is _______________ .

•  $\sin\theta\ =\frac{a}{b}\$  

•  $\sin\theta\ =\frac{a}{c}\$  

•  $\sin\theta\ =\frac{b}{c}\$  

•  $\sin\theta\ =\frac{b}{a}\$  

Answer explanation

Tags

CCSS.HSG.SRT.C.6

Cosine of the reference angle  $\Theta$  is _______________ .

•  $\cos\theta\ =\frac{a}{b}\$  

•  $\cos\theta\ =\frac{a}{c}\$  

•  $\cos\theta\ =\frac{b}{c}\$  

•  $\cos\theta\ =\frac{b}{a}\$  

Answer explanation

Tags

CCSS.HSG.SRT.C.6

Tangent of the reference angle  $\Theta$  is _______________ .

•  $\tan\theta\ =\frac{a}{b}\$  

•  $\tan\theta\ =\frac{a}{c}\$  

•  $\tan\theta\ =\frac{b}{c}\$  

•  $\tan\theta\ =\frac{b}{a}\$  

Answer explanation

Tags

CCSS.HSG.SRT.C.6

Set up a correct trig ratio to solve for x. Select the correct equation.

• 
  

  $\sin\ 29\degree\ =\frac{x}{8}$
  

• $\cos\ 29\degree\ =\frac{x}{8}$

• $\tan\ 29\degree\ =\frac{x}{8}$

• $\tan\ 29\degree\ =\frac{8}{x}$

Answer explanation

Tags

CCSS.HSG.SRT.C.6

Set up a correct trig ratio to solve for x. Select the correct equation.

• 
  

  $\sin\ 55\degree\ =\frac{23}{x}$
  

• $\cos\ 55\degree\ =\frac{23}{x}$

• $\tan\ 55\degree\ =\frac{x}{23}$

• $\cos\ 55\degree\ =\frac{x}{23}$

Answer explanation

Tags

CCSS.HSG.SRT.C.6

Set up a correct trig ratio to solve for x. Select the correct equation.

• 
  

  $\tan\ 28\degree\ =\frac{42}{x}$
  

• $\cos28\degree\ =\frac{42}{x}$

• $\tan28\degree\ =\frac{x}{42}$

• $\sin\ 28\degree\ =\frac{42}{x}$

Answer explanation

Tags

CCSS.HSG.SRT.C.6

Set up a trig ratio to calculate the height of the tree. Select the correct equation to solve for x.

• $\tan\ 35\degree\ =\frac{47}{x}$

• $\cos n\ 35\degree\ =\frac{47}{x}$

• $\sin\ 35\degree\ =\frac{47}{x}$

• $\tan\ 35\degree\ =\frac{x}{47}$

Answer explanation

Tags

CCSS.HSG.SRT.C.8

 $m\angle B\ =$  _______

What is the angle measure of B?
Select the correct answer.

•  $m\angle B\ =145\degree$  

•  $m\angle B\ =65\degree$  

•  $m\angle B\ =90\degree$  

•  $m\angle B\ =55\degree$  

Tags

CCSS.7.G.B.5