Bearings, surveying and navigation

Practise bearings, surveying and navigation through carefully specified compass directions and original diagrams. This precalculus set connects clockwise bearings from north to triangle angles, direct distances, triangulation and tower-height models. It also examines parallel sight lines and situations where distance-and-bearing data allow more than one location.

Begin with direction conventions, then progress to multi-step geometric models. Both single-select and multiselect questions include worked explanations, checks of triangle feasibility and discussion of common heading errors. Sketch each situation on scratch paper. Use a scientific calculator when a decimal bearing is requested; otherwise retain exact lengths. These problems assume a flat local plane, fixed north and level ground where stated. Crosswind and vector models belong to later study.