Trigonometric Functions and SOHCAHTOA

Richard C, a math tutor at WISE, explains a straightforward SOHCAHTOA word problem involving a tower and a wire forming a right triangle. The task is to find the angle of elevation of the wire using cosine, given the adjacent side and hypotenuse. Richard demonstrates how to calculate the angle using inverse cosine and rounds the result to the nearest hundredth. He provides tips for remembering the angle of elevation concept and advises on handling more complex problems in pre-calculus.

What is the primary mathematical concept discussed in this tutorial?

• Binomial Theorem

• Quadratic Formula

• SOHCAHTOA

• Pythagorean Theorem

What is the first step in solving the word problem presented?

• Calculate the area of the triangle

• Determine the height of the tower

• Draw a sketch of the scenario

• Find the length of the wire

In the problem setup, what forms the right triangle?

• The tower, the wire, and the sky

• The tower, the sun, and the shadow

• The tower, the wire, and the ground

• The wire, the sun, and the shadow

What is the length of the wire in the problem?

• 803 feet

• 1659 feet

• 169 feet

• 803 meters

How far is the wire from the base of the tower?

• 803 meters

• 169 feet

• 803 feet

• 1659 feet

What is the angle of elevation?

• The angle between the sun and the shadow

• The angle between the wire and the ground

• The angle between the tower and the wire

• The angle between the tower and the ground

How can you visualize the angle of elevation?

• By imagining looking straight ahead and then upward

• By imagining looking downward from the top of the tower

• By imagining looking sideways at the tower

• By imagining looking at the shadow on the ground

Which trigonometric function is used to solve for the angle in this problem?

• Sine

• Secant

• Tangent

• Cosine

What values are given in the problem to use with the cosine function?

• Adjacent and hypotenuse

• Adjacent and opposite

• Opposite and angle

• Opposite and hypotenuse

What is the formula used to find the angle X in this problem?

• X = inverse secant of (hypotenuse/adjacent)

• X = inverse tangent of (opposite/adjacent)

• X = inverse cosine of (adjacent/hypotenuse)

• X = inverse sine of (opposite/hypotenuse)