Understanding Guywire Calculations

The video tutorial explains how to determine the shortest length of a guywire needed to support a 141-foot tower on a 33-degree inclined mountain. It involves understanding the geometry of the situation, particularly focusing on an obtuse triangle formed by the tower, the mountain, and the guywire. The tutorial uses the law of cosines to calculate the length of the guywire, explaining each step in detail, including angle determination and calculation verification using a calculator.

What is the height of the tower located on the mountain?

• 141 feet

• 33 feet

• 72 feet

• 190 feet

At what angle is the mountain inclined to the horizontal?

• 60 degrees

• 33 degrees

• 90 degrees

• 45 degrees

What is the distance from the base of the tower to where the guywire is anchored?

• 72 feet

• 33 feet

• 141 feet

• 190 feet

Which property of parallel lines helps in determining the obtuse angle?

• Corresponding angles

• Alternate interior angles

• Supplementary angles

• Vertical angles

What is the measure of the obtuse angle in the triangle?

• 123 degrees

• 33 degrees

• 180 degrees

• 90 degrees

Which mathematical law is used to find the length of the guywire?

• Law of Sines

• Law of Tangents

• Law of Cosines

• Pythagorean Theorem

What is the formula used to calculate the length of the guywire?

• tan(A) = opposite/adjacent

• x^2 = a^2 + b^2 - 2ab cos(C)

• a^2 + b^2 = c^2

• sin(A)/a = sin(B)/b

What is the approximate length of the guywire?

• 123 feet

• 141 feet

• 72 feet

• 190.2 feet

Why is only the positive square root considered in the final calculation?

• Because the tower is tall

• Because the mountain is inclined

• Because lengths cannot be negative

• Because the angle is obtuse

What is the final step in calculating the length of the guywire?

• Taking the square root

• Multiplying the lengths

• Adding the lengths

• Subtracting the lengths