Geometry: Trig Review

What is SOHCAHTOA?

• The name of Pythagoras' pet dog.

• A way to remember the side lengths in a 30-60-90 triangle

• A mnemonic device to help remember the trigonometric ratios.

• A way to memorize the formula for Law of Cosines.

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 100 feet. Which of these is nearest to the height of the lighthouse?

• 81.2 feet

• 43.9 feet

• 185.3 feet

• 39.8 feet

Find the ratios for Sin C, Cos C, Tan C. Which one of the following is correct?

• cos C = 14/48

• tan C = 48/50

• sin C = 14/50

• tan C = 48/14

Find the lengths of x and y in this 45-45-90 triangle

• x = 4, y = 8

• y = 8, y = 4

What are x and y in this 30-60-90 triangle?

• x = 6 and y = 3√3

• x = 1.5√3 and y =1.5

• x = 3√3 and y = 6

• x = √3 and y = 2√3

When the angle of elevation of the sun is 78 degrees, a statue casts a shadow that is 6 m long. How far is the top of the statue to the end of its shadow?

• 1.2 m

• 28.9 m

• 6.1 m

• 18.2 m

Is this an angle of elevation or an angle of depression?

• Angle of elevation from the lifeguard to the swimmer

• Angle of depression from the lifeguard to the swimmer

• Angle of elevation from the swimmer to the lifeguard

• Angle of depression from the swimmer to the lifeguard

Find the measure of the indicated angle.

• 39

• 55

• 51

• 35

Use the Law of Sines to find the length of BC (otherwise known as side a)

• 12.8

• 10.3

• 14.5

• 19.6

Use the Law of Sines to find the measure of ∠A

• 18 degrees

• 28 degrees

• 36 degrees

• 24 degrees