Trigonometric Functions and Applications

This lesson covers the applications of trigonometric ratios, focusing on solving real-world problems using tangent, sine, and cosine. It includes examples such as calculating the length of a ramp, determining the angle of elevation of a kite, finding the angle a ladder makes with the ground, calculating the height of a kite, determining the height of theater stairs, and finding the angles of a right triangle.

What is the primary focus of this lesson?

• Applications of algebraic equations

• Applications of geometry

• Applications of calculus

• Applications of trigonometric ratios

Which trigonometric function is used to solve the problem involving the ramp?

• Secant

• Cosine

• Tangent

• Sine

What is the height of the ramp in the first problem?

• 3 feet

• 4 feet

• 6 feet

• 5 feet

What is the angle of elevation given in the first problem?

• 30 degrees

• 37 degrees

• 33 degrees

• 35 degrees

In the first problem, what is the length of the ramp calculated to be?

• 6.3 feet

• 7.3 feet

• 8.3 feet

• 9.3 feet

What is the height of the kite above the ground in the second problem?

• 39 feet

• 41 feet

• 38 feet

• 40 feet

What is the length of the string holding the kite in the second problem?

• 41 feet

• 43 feet

• 40 feet

• 42 feet

Which trigonometric function is used to find the angle of elevation in the second problem?

• Cosine

• Sine

• Cosecant

• Tangent

What is the calculated angle of elevation to the kite in the second problem?

• 73.2 degrees

• 72.2 degrees

• 70.2 degrees

• 71.2 degrees

What is the length of the ladder in the third problem?

• 15 feet

• 14 feet

• 16 feet

• 13 feet