Solve Trigonometric Equations Using SOHCAHTOA

Trig Review

More SOHCAHTOA and application problems

Let's see what you remember...

answer these questions.

Multiple Choice

 Find tanZ

• 35/21
• 21/28
• 35/28
• 28/21

Multiple Choice

 Find cosC

• 16/34
• 16/30
• 30/34
• 34/16

Multiple Choice

 Find sinA

• 32/40
• 32/24
• 24/40
• 24/32

Multiple Choice

 Find sinA

• 32/40
• 32/24
• 24/40
• 24/32

Multiple Choice

Find cosA

• 30/16

• 30/34

• 30/15

• 16/34

Multiple Choice

Find cosA

• 30/16

• 30/34

• 30/15

• 16/34

Multiple Choice

Which is the value of x?

• 44.55

• 22.69

• 41.66

• 38.49

Multiple Choice

Which is the value of x?

• 20.35

• 12.72

• 14.99

• 21.83

Application Problems

• Draw a picture if one is not provided

• Label the triangle parts you know

• Label the part(s) you do not know with a variable

• Use SOHCAHTOA to find the requested piece of information

Multiple Choice

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

Multiple Choice

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 nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

Multiple Choice

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

• 4.1 inches

• 3.9 inches

• 22.7 inches

• 0.7 inches

SOHCAH(TOA) in the Same Right Triangle

• Remember that the acute angles are ___???

• What is opposite to one of the acute angles is ____ to the other acute angle.

• If one angle is  $\theta$ , you  find the other acute angle by doing ____.

• 
  

Multiple Choice

remember that the acute angles in a right triangle are...

• supplementary

• complementary

• vertical

• adjacent

Multiple Choice

If one angle is θ, you find the other acute angle by doing ____.

• $$90-\theta$$
  

• $$90+\theta$$

• $$180-\theta$$

• $$\theta-90$$

Multiple Choice

$$\sin\left(\theta\right)=$$  

• $$\cos\left(\theta\right)$$  

• $$\cos\left(90-\theta\right)$$  

• $$\sin\left(90-\theta\right)$$  

Multiple Choice

$$\sin\left(57°\right)=$$  

• $$\cos\left(57°\right)$$  

• $$\sin\left(33°\right)$$  

• $$\cos\left(33°\right)$$  

• $$\tan\left(33°\right)$$  

Multiple Choice

$$\cos\left(60°\right)=\frac{1}{2}$$  Which other function is also equal to  $$\frac{1}{2}$$  ?

• $$\sin\left(60°\right)$$  

• $$\tan\left(60°\right)$$  

• $$\sin\left(30°\right)$$  

• $$\cos\left(30°\right)$$  

Multiple Choice

$$\cos\left(30°\right)=\frac{\sqrt{3}}{2}$$  Which other function is also equal to  $$\frac{\sqrt{3}}{2}$$  ?

• $$\sin\left(60°\right)$$  

• $$\tan\left(60°\right)$$  

• $$\sin\left(30°\right)$$  

• $$\cos\left(30°\right)$$  

Thank you! Now you can enjoy your Spring Break!