Exploring Right Triangle Trigonometry

What is the sine of an angle in a right triangle defined as?

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over adjacent

• Opposite over hypotenuse

Which function is defined as the reciprocal of cosine?

• Cotangent

• Secant

• Sine

• Cosecant

What is the length of the side opposite the 30° angle in a 30-60-90 triangle if the hypotenuse is 1?

• 1

• sqrt(2)/2

• sqrt(3)/2

• 1/2

If the hypotenuse of a 45-45-90 triangle is 1, what is the length of each leg?

• sqrt(2)/2

• 1/2

• 1

• sqrt(3)/2

How do you calculate the cosine of an angle in a right triangle?

• Hypotenuse over adjacent

• Adjacent over opposite

• Opposite over hypotenuse

• Adjacent over hypotenuse

What is the tangent of 45° in a right triangle?

• sqrt(2)/2

• 0

• sqrt(3)/2

• 1

What trigonometric function would you use to find an angle given the opposite side and the hypotenuse?

• Secant

• Cosine

• Cotangent

• Sine

In a right triangle, if the angle is 30° and the adjacent side is known, which function calculates the hypotenuse?

• Sine

• Cosine

• Tangent

• Cotangent

How would you find the distance to a road if you know the angle of deviation and walked 3.6 miles at that angle?

• Using secant

• Using cosine

• Using sine

• Using tangent

What is the height of a flagpole if the distance from the base is 28 ft and the angle of elevation is 63°?

• Approximately 75 ft

• Approximately 65 ft

• Approximately 45 ft

• Approximately 55 ft