Trigonometric Functions and Triangle Properties

The video tutorial covers solving trigonometry problems using SOHCAHTOA. It includes finding unknown sides in triangles using tangent, cosine, and sine functions. The tutorial also explains the properties of 30-60-90 triangles and demonstrates how to calculate the height of objects like trees using trigonometry. The instructor emphasizes the importance of understanding trigonometric ratios and their applications in real-world scenarios.

In problem 66, which trigonometric function is used to find the value of x?

• Sine

• Cosine

• Tangent

• Secant

What is the equation used to find x in problem 66?

• x = 10 sec(32°)

• x = 10 tan(32°)

• x = 10 cos(32°)

• x = 10 sin(32°)

In problem 67, which trigonometric function helps determine the distance up the wall?

• Cotangent

• Sine

• Cosine

• Tangent

What is the approximate distance the ladder reaches up the wall in problem 67?

• 5.2 feet

• 7.5 feet

• 4.8 feet

• 6.0 feet

In problem 68, which side of the triangle is being calculated?

• Adjacent

• Opposite

• Hypotenuse

• Base

What is the trigonometric function used in problem 68?

• Cosine

• Cosecant

• Sine

• Tangent

In problem 69, what is the height of the tree calculated to be?

• 100 feet

• 60 feet

• 76.6 feet

• 50 feet

Which trigonometric function is used to find the height of the tree in problem 69?

• Sine

• Cosine

• Tangent

• Secant

In problem 70, what is the value of side B in the 30-60-90 triangle?

• 15

• 9

• 12

• 6

What is the relationship between the sides in a 30-60-90 triangle as shown in problem 70?

• 1:√3:2

• 1:2:√3

• √3:1:2

• 2:1:√3