Right Triangles and Trigonometry

Which equation will be used to solve for x?

•  $\sin\left(\theta\right)=\frac{4}{8}$  

•  $x^2+4^2=8^2$  

•  $\cos\left(\theta\right)=\frac{x}{8}$  

•  $4^2+8^2=x^2$  

Which of the following is incorrect?

• $\sin\left(\theta\right)=\frac{opp}{hyp}$

• $\tan\left(\theta\right)=\frac{opp}{adj}$

• $\cos\left(\theta\right)=\frac{adj}{hyp}$

• $\tan\left(\theta\right)=\frac{adj}{opp}$

Which equation would be used to solve for x?

• $\tan\left(66\right)=\frac{18}{x}$

• $\cos^{-1}\left(\frac{18}{66}\right)=x$

• $\sin\left(66\right)=\frac{18}{x}$

• $\sin^{-1}\left(\frac{18}{66}\right)=x$

Which equation would be used to solve for x?

• $\tan^{-1}\left(\frac{28}{19}\right)=x$

• $\sin\left(x\right)=\frac{28}{19}$

• $\cos\left(19\right)=\frac{28}{x}$

• $\tan\left(19\right)=\frac{x}{28}$

If $\sin\left(x\right)=\frac{3}{5}\ and\ \cos\left(x\right)=\frac{4}{5}$ then what is  $\tan\left(x\right)?$   

•  $\frac{4}{3}$  

•  $\frac{3}{5}$  

•  $\frac{5}{4}$  

•  $\frac{3}{4}$  

Which equation would allow you to solve for the height of this tree?

• $\sin\left(35\right)=\frac{x}{47}$

• $\cos\left(35\right)=\frac{47}{x}$

• $\tan\left(35\right)=\frac{x}{47}$

• $\tan^{-1}\left(\frac{35}{47}\right)=x$

What is the length of side AB to the nearest whole number?

• 22

• 28

• 53

• 12

What is the degree measure of <C?

(To the nearest degree)

• 39^o

• 53^o

• 51^o

• 37^o