Right Triangle Trigonometry Concepts

This video tutorial covers right triangle trigonometry, focusing on concepts like tangent and cofunction identities. It provides examples and problem-solving techniques, including special right triangles and advanced applications. The tutorial also demonstrates how to apply trigonometry to real-world scenarios, enhancing understanding through practical examples.

Which side of a right triangle is always opposite the 90-degree angle?

• Adjacent side

• Opposite side

• Hypotenuse

• Base

What does the tangent of an angle in a right triangle compare?

• Opposite side to hypotenuse

• Adjacent side to opposite side

• Adjacent side to hypotenuse

• Opposite side to adjacent side

What is the cofunction identity for sine?

• Sine of an angle equals cosine of its complement

• Sine of an angle equals tangent of its complement

• Cosine of an angle equals sine of its complement

• Tangent of an angle equals sine of its complement

If the sine of an angle is 1/2, what is the cosine of its complement?

• 1/2

• 1

• 0

• 2

Given a right triangle with sides a = 20 and sine of angle B = 1/2, what is the length of side B?

• 20√3/3

• 40√3/3

• 10

• 20

In a 30-60-90 triangle, if the side opposite the 30-degree angle is 7, what is the length of the hypotenuse?

• 14√3

• 7√3

• 14

• 7

In a 45-45-90 triangle, if the hypotenuse is 15√2, what is the length of each leg?

• 15/√2

• 30

• 15√2

• 15

A 23-foot ladder leans against a building with an 80-degree angle with the ground. How high does the ladder reach on the building?

• 21.5 feet

• 20 feet

• 23 feet

• 22.65 feet

If the angle of elevation to the top of a building is 2 degrees from a distance of 2 miles, what is the height of the building in feet?

• 10560 feet

• 1840 feet

• 368.76 feet

• 5280 feet

From a location 500 feet from a building, the angle of elevation to the top of the building is 36 degrees and to the top of a lightning rod is 38 degrees. What is the height of the lightning rod?

• 27.37 feet

• 500 feet

• 36 feet

• 38 feet