Trigonometric Applications Quiz

What is the grade of a road if its rise is 6% of its run?

• 0.06

• 6%

• 6 degrees

• 0.6

Which trigonometric function is used to find the angle of a road given its grade?

• Tangent

• Cotangent

• Cosine

• Sine

If a bug is looking up at a person, what is the angle called?

• Horizontal angle

• Angle of elevation

• Vertical angle

• Angle of depression

What is the relationship between angles of elevation and depression?

• They are congruent

• They are equal to 90 degrees

• They are supplementary

• They are complementary

A sonar operator detects a submarine at a distance of 400 meters with an angle of depression of 35 degrees. What trigonometric function is used to find the depth?

• Secant

• Sine

• Cosine

• Tangent

How deep is the submarine if the angle of depression is 35 degrees and the distance is 400 meters?

• 35 meters

• 100 meters

• 400 meters

• 229.3 meters

In a problem involving two buildings, what is the angle of elevation from the shorter building to the taller building's roof?

• 35 degrees

• 45 degrees

• 20 degrees

• 60 degrees

What is the angle of depression from the shorter building to the base of the taller building?

• 20 degrees

• 45 degrees

• 60 degrees

• 35 degrees

How far apart are the two buildings in the problem involving angles of elevation and depression?

• 60 feet

• 30 feet

• 90 feet

• 120 feet

What is the total height of the taller building if the angle of elevation is 20 degrees and the angle of depression is 35 degrees?

• 64 feet

• 60 feet

• 63.85 feet

• 70 feet