Right Triangle Trigonometry Problems

This video tutorial covers a review of Math 2 Unit 7, focusing on solving problems using the Pythagorean theorem and trigonometric functions. It includes determining if triangles are right triangles, calculating missing lengths in special triangles, and solving real-world problems involving angles and lengths. The tutorial emphasizes showing all work and leaving answers in simplified radical form.

What is the main purpose of the review worksheet discussed in the video?

• To introduce new mathematical concepts

• To prepare for an upcoming unit test

• To practice basic arithmetic

• To explore advanced calculus topics

In a right triangle, if one leg is 8 and the hypotenuse is 12, what is the length of the other leg?

• √80

• 6

• 10

• 4√5

How can you verify if a triangle with sides 8, 15, and 17 is a right triangle?

• Check if 8^2 = 15^2 + 17^2

• Check if 8 + 15 = 17

• Check if 8 + 15 + 17 = 40

• Check if 8^2 + 15^2 = 17^2

What is the length of the hypotenuse in a 45-45-90 triangle if one leg is 13?

• 13√2

• 13√3

• 13

• 26

In a 30-60-90 triangle, if the shorter leg is 5, what is the length of the hypotenuse?

• 5√3

• 10

• 5

• 15

What is the sine of angle A if the opposite side is 3 and the hypotenuse is 7?

• 3/7

• 7/3

• 3/5

• 5/7

Which equation is correctly set up to find the length of the opposite side in a right triangle with an angle of 50 degrees and a hypotenuse of 200?

• 200 / sin(50)

• 200 * tan(50)

• 200 * sin(50)

• 200 * cos(50)

A ladder is leaning against a building, forming a 75-degree angle with the ground. If the ladder is 20 feet long, how far is the base of the ladder from the building?

• 5.2 feet

• 10 feet

• 15 feet

• 20 feet