Precalculus Application Flashcards

Vocabulary flashcards covering the practical applications of trigonometry in engineering, architecture, and navigation based on the lecture transcript.

Why might engineers choose radians instead of degrees when designing rotational motion?

Engineers use radians because they work better with formulas for rotation and motion in physics and programming.

How does the unit circle help predict the drone's direction and horizontal/vertical displacement?

The unit circle helps predict the drone's direction using x- and y-coordinates for horizontal and vertical movement.

Explain what the reference angle tells us about the movement.

The reference angle shows the basic movement pattern and helps identify the correct direction in the quadrant.

How do right-triangle trig ratios help architects determine height changes?

Trig ratios help architects calculate height and side lengths without directly measuring them.

Why is using sine/tangent ratios more efficient than physical measurement in such scenarios?

Using sine and tangent is faster and safer than physical measurements during construction.

How does increasing the angle impact the building's practical design (wind, materials, cost)?

Increasing the roof angle makes the roof taller but can increase cost, materials, and wind pressure.

Why is this scenario an example of an oblique triangle rather than a right triangle?

This is an oblique triangle because there is no right angle given.

How does the Law of Sines help when no right angle is present?

The Law of Sines helps find missing distances when working with non-right triangles.

What real-life assumptions must be considered (ground slope, measurement error, angles not exact)?

Real-life factors like uneven ground and measurement errors can affect the accuracy of the calculations.