Solving Right Triangle Problems

Which trigonometric ratio is defined as Opposite ÷ Hypotenuse?

• Tangent

• Cosine

• Sine

• Cotangent

What does "adjacent" mean when labeling triangle sides?

• Side across from the right angle

• Side across from the given angle

• Side forming the given angle (not hypotenuse)

• Side directly opposite the hypotenuse.

What is the mnemonic to help you remember trigonometric ratios?

• SOH-CAH-TOA

• PEMDAS

• FOIL

• FANBOYS

What ratio represents Tangent (tan)?

• Adjacent ÷ Hypotenuse

• Opposite ÷ Hypotenuse

• Hypotenuse ÷ Adjacent

• Opposite ÷ Adjacent

When would you use inverse trig functions (sin⁻¹, cos⁻¹, tan⁻¹)?

• To find an unknown angle

• To find the hypotenuse

• To simplify fractions

• To find the opposite side

A ladder forms a 60° angle with the ground and is 8 ft from the wall. What's the length of the ladder?

• 4 ft

• 16 ft

• 9.2 ft

• 13.9 ft

You know the adjacent side and angle. To find the hypotenuse, use:

• Sine

• Cosine

• Tangent

• Inverse tangent

A triangle has a hypotenuse of 20 and an angle of 30°. What's the length of the side opposite the angle?

• 10

• 17.3

• 20

• 15

If sin(θ) = 3/5, what's cos(θ) for the same triangle?

• 4/5

• 3/4

• 5/3

• 3/5

Given tan(θ) = 4/3, what's the length of the opposite side if the adjacent side is 9 units?

• 6 units

• 8 units

• 12 units

• 15 units