Use trig ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Solve navigation with a signed vector, distance, and bearing
Problem
A boat travels \(12~\text{km}\) east and then \(5~\text{km}\) north. Use the Pythagorean theorem for resultant distance and inverse tangent of \(5/12\) for the angle measured north of east; report \(\text{both}~\text{results}\).
A navigation result combines vector magnitude with a direction measured from a named axis. We’ll encode east and north as perpendicular components, use the Pythagorean theorem for distance, form north-over-east for the bearing angle, and report the rounded direction with its correct north-of-east wording.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
