Trigonometry

Multiple Choice

Which trigonometric ratio is correct?

• cosC= adj/hyp

• sinC= adj/hyp

• tanC= adj/hyp

• tanC=adj/opp

Multiple Choice

Find the trig value rounded to the nearest ten-thousandth.
Tan(42°)

• .9004

• .8123

• 88.6361

• 42

Multiple Choice

Find the trig value rounded to the nearest ten-thousandth. Sin(2°)

• 0.0349

• 0.3746

• 0.9994

• 0.0348

Multiple Choice

Fill in the blank...
SOH ___ TOA

• COH

• CAH

• COA

• CHA

Multiple Choice

If you are given the two sides that are not the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

Multiple Choice

What is the ratio for cosine?

• H/A

• O/A

• A/H

• A/O

Multiple Choice

Which one is the easy trick to remember trigonometric ratios?

• Sah Coh Toa

• Soh Cah Toa

• Soh Cah Tao

• Soh Ceh Toa

Multiple Choice

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5

Multiple Choice

Which equation can you use to find Angle C?

• $$Tan^{-1}\left(\frac{8}{15}\right)$$

• $$Cos^{-1}\left(\frac{8}{17}\right)$$

• $$Sin^{-1}\left(\frac{17}{15}\right)$$

• $$Cos^{-1}\left(\frac{15}{17}\right)$$

Multiple Choice

Which one can't be used to solve for angle X?

• $$Sin^{-1}\left(\frac{18}{24}\right)$$

• $$Sin^{-1}\left(\frac{18}{30}\right)$$

• $$Cos^{-1}\left(\frac{24}{30}\right)$$

• $$Tan^{-1}\left(\frac{18}{24}\right)$$

Multiple Choice

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Multiple Choice

Which is the ratio of the opposite leg to the hypotenuse in a right triangle?

• sine

• cosine

• tangent

• secant

Multiple Choice

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5

Multiple Choice

Solve for x. Round to the nearest tenth.

• 103.5
• 4.7
• 55.0
• 23.4

Multiple Choice

Solve for x. Round to the nearest tenth.

• 9.8
• 0.1
• 0.038
• 9.9

Using Trig Ratios to Solve for Missing Side Lengths

Trig ratios can be used to find missing side lengths.

Multiple Choice

What is the cosine of angle P?

• p/q

• q/r

• p/r

• r/q

Multiple Choice

Set up the problem...

• sin X = 41/28
• tan X = 41/28
• cos X = 28/41
• sin X = 28/41

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 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6
• 6.0
• 14.8
• 13.6

Using Trig Ratios to Solve for Missing Angles

Multiple Choice

A 14 ft. ladder leans against the side of a house. The bottom of the ladder is 8 ft. away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth.

• $$55.2\degree$$

• $$34.8\degree$$

• $$29.7\degree$$

• $$60.3\degree$$

Multiple Choice

Solve for the indicated angle to the nearest whole number.

• 35

• 46

• 44

• 55