Right Triangle Trig Quiz

What is the correct ratio?

• $\sin\ 29^o=\frac{91}{x}$

• $\cos\ 29^o=\frac{91}{x}$

• $\tan\ 29^o=\frac{91}{x}$

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

• 63 ft

• 74 ft

• 65 ft

• 87 ft

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is closest to the height of the lighthouse?

• 25 feet

• 110 feet

• 45 feet

• 135 feet

What is the correct ratio to solve for w?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Find the ratio for sinA. (Reduce the fraction)

• 36/27
• 4/5
• 36/45
• 3/5

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the value of x?

• 4.20
• 7.32
• 0.14
• 4.91

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

If  $\cos60\degree\ =\ \frac{1}{2}$  , then  $\sec60\degree$  =

•  $\frac{1}{2}$  

•  $2$  

•  $-\frac{1}{2}$  

•  $-2$  

If  $\sin\theta=\frac{4}{5}$  , then  $\csc\theta=$  

•  $\frac{4}{5}$  

•  $-\frac{4}{5}$  

•  $-\frac{5}{4}$  

•  $\frac{5}{4}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

If  $\sin\theta=\frac{1}{\sqrt{2}}$  , then  $\csc\theta=$  

•  $\sqrt{2}$  

•  $\frac{1}{\sqrt{2}}$  

•  $-\sqrt{2}$  

•  $-\frac{1}{\sqrt{2}}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

If  $\sin\theta=\frac{\sqrt{2}}{2}$  , then  $\csc\theta=$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{2}{\sqrt{2}}\ which\ is\ \sqrt{2}$  

•  $-\frac{2}{\sqrt{2}}\ which\ is\ -\sqrt{2}$  

•  $-\frac{\sqrt{2}}{2}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6