Trigonometry and Triangle Area Quiz

What is the traditional formula for calculating the area of a triangle?

• Base minus height

• One-half base times height

• Base times height

• Base plus height

Why might the traditional base-height formula not always be applicable?

• It requires knowing the hypotenuse

• It requires knowing the altitude

• It requires knowing all angles

• It requires knowing the perimeter

What is needed to use the trigonometric formula for the area of a triangle?

• Three angles

• Two sides and the included angle

• Three sides

• Two angles and a side

In the example with 116 degrees, what is the base of the triangle?

• Five units

• Four units

• Three units

• Six units

Which law is used to find an angle when three sides of a triangle are known?

• Law of Secants

• Law of Sines

• Law of Cosines

• Law of Tangents

What is the approximate value of angle A in the example using the law of cosines?

• 90 degrees

• 45 degrees

• 22.33 degrees

• 60 degrees

What is an angle of elevation?

• An angle below the horizontal

• An angle at the vertical

• An angle above the horizontal

• An angle at the horizontal

How is an angle of depression related to an angle of elevation?

• They are supplementary

• They are complementary

• They are unrelated

• They are equal

What does the angle of depression represent in the context of a security camera?

• The angle above the horizontal

• The angle below the horizontal

• The angle at the horizontal

• The angle at the vertical

What theorem is used to show the congruence between angles of depression and elevation?

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Pythagorean Theorem