Trigonometry Review 2

What is the Pythagorean theorem and how is it used to solve right triangles?

• The Pythagorean theorem is used to solve for the length of any side of a right triangle when the lengths of the other two sides are known.

• The Pythagorean theorem is only applicable to isosceles triangles

• The Pythagorean theorem is used to solve for the area of a right triangle

• The Pythagorean theorem is used to solve for the angles of a right triangle

If sin(θ) = 0.6, what is the value of cos(θ)?

• 0.5

• 0.8

• 0.4

• 1.2

A ladder is leaning against a wall. If the angle of elevation is 60 degrees and the ladder is 10 meters long, how far is the base of the ladder from the wall?

• 15 meters

• 12.5 meters

• 5 meters

• 8.66 meters

If tan(θ) = 1.5, what is the value of sin(θ)?

• sin(θ) ≈ 1

• sin(θ) ≈ 0.832

• sin(θ) ≈ -0.168

• sin(θ) ≈ 2.5

In a right triangle, if the length of the hypotenuse is 10 and the length of one leg is 6, what is the length of the other leg?

• 5

• 8

• 4

• 12

If cos(θ) = 0.8, what is the value of sin(θ)?

• 0.4

• 0.6

• 1.2

• 0.8

A flagpole casts a shadow that is 15 meters long. If the angle of elevation from the tip of the shadow to the top of the flagpole is 30 degrees, how tall is the flagpole?

• 10 meters

• 12 meters

• 8.66 meters

• 20 meters

In a right triangle, if the length of one leg is 8 and the length of the other leg is 15, what is the length of the hypotenuse?

• 20

• 17

• 25

• 10

A Ferris wheel has a diameter of 50 meters. If a person is standing 20 meters from the center of the wheel, at what angle of elevation is the person from the top of the wheel?

• 45 degrees

• 60 degrees

• 51.34 degrees

• 30 degrees

If cos(θ) = 0.3, what is the value of sin(θ)?

• 0.95

• 0.75

• 0.96

• 0.76