Finding the Tangent of an Acute Angle in a Right Triangle

The video tutorial explains how to find the height of a plane using trigonometric ratios in right triangles. It introduces the problem of calculating the plane's height given a 29-degree angle and a 502-foot horizontal distance. The lesson covers the tangent, sine, and cosine ratios, emphasizing the tangent ratio's application in similar right triangles. The tutorial demonstrates solving the problem by setting up an equation using the tangent ratio and calculating the plane's height, considering the observer's height. The video concludes with a recap of the tangent ratio's importance in right triangles.

What is the angle formed between the plane and the person's line of sight?

• 90 degrees

• 60 degrees

• 29 degrees

• 45 degrees

Which ratio compares the length of the side opposite an acute angle to the length of the hypotenuse in a right triangle?

• Cosine ratio

• Sine ratio

• Secant ratio

• Tangent ratio

In a right triangle, what is the tangent of an acute angle equal to?

• The length of the leg opposite the angle divided by the length of the hypotenuse

• The length of the leg adjacent to the angle divided by the length of the hypotenuse

• The length of the hypotenuse divided by the length of the leg opposite the angle

• The length of the leg opposite the angle divided by the length of the leg adjacent to the angle

Which of the following is true about the tangent ratio?

• It is equal to the cosine ratio

• It is equal to the sine ratio

• It can only be used in right triangles

• It can be used in all triangles

What is the approximate value of the tangent of 54 degrees as calculated in the examples?

• 0.500

• 1.000

• 1.376

• 2.000

How do you calculate the height of the plane using the tangent ratio?

• Multiply the tangent of 29 degrees by the height of the person

• Multiply the tangent of 29 degrees by the horizontal distance

• Divide the horizontal distance by the tangent of 29 degrees

• Add the tangent of 29 degrees to the horizontal distance

What is the final calculated height of the plane, including the person's height?

• 278.26 feet

• 5 feet

• 502 feet

• 283.26 feet