Right Triangles and Trigonometry Review

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

• 45 feet 

• 110 feet 

• 135 feet 

What is the measure of angle A?

• 58 degrees

• 61 degrees

• 78 degrees

• 74 degrees

Find angle Z

• 20.15°

• 71.23°

• 51.06°

• 57.71°

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA

• c² = a² - b² - 2abcosC

• c² = a² + b² - 2abcosC

• (cos A)/a = (cos B)/b

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Equiangular

• Equilateral

Set up an equation that could be used to solve for the variable.

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All of the following could be used to find angle B, EXCEPT which one?

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The ratio in a right triangle of adjacent to hypotenuse is _____

• sine

• cosine

• tangent

• hypotenuse

We can use SOH-CAH-TOA for...

• Any triangle ever

• Non-right triangles only

• Right Triangles only

• Never

What is the ratio for Sine?

• Hypotenuse/Opposite

• Opposite/Hypotenuse

• Opposite/Adjacent

• Adjacent/Opposite