HSC · Mathematics Standard 1 · Measurement · also VCE Measurement & Trigonometry live from the app

Bearings, Elevation and Compass Radial Surveys

Trigonometry pointed at the real world: true bearings for direction, angles of elevation and depression for height, and compass radial surveys for mapping a paddock from a single point. This is the real knowscape from knowhere, not a picture of one. Drag it. Watch what actually changes.

mathematics standard 1 · measurement · bearings, elevation and compass radial surveysdrag it · it is yours
the one idea

why this one carries the topic.

Every question here is the same move: something you can't measure directly, reached through something you can. The triangle, the bearing, the scale plan, the recapture sample — each is a bridge from a length you can reach to one you can't. Measurement is indirect measurement.

Bearings measure direction as angles clockwise from north, elevation angles measure upward slope from horizontal, and radial surveys use distance and bearing from one central point to map surrounding locations.

what examiners catch — Students frequently subtract bearings in the wrong order when finding the angle between two directions, or forget that a back bearing differs from the forward bearing by exactly 180 degrees.
what you leave with

five things, not forty.

what's underneath

nothing here is a standalone fact.

knowhere maps every concept to what it rests on and what rests on it — 1 underneath this one, 0 built on top. Each one says why, in a sentence, not as an arrow on a diagram.

this conceptbearings, elevation and compass radial surveysBearings measure direction as angles clockwise from north, elevation angles measure upward slope from horizontal, and radial surveys use distance and bearing from one central point to map surrounding locations.
sits under itpythagoras theorem and trigonometric ratiosbecause a bearing problem is solved by dropping a right-angled triangle into it
the rest of measurement

4 more, same treatment.

Each one is its own knowscape in the app — built for how a particular student takes things in, not one explanation handed to everybody.

practical ratio problems and capture-recapturelive →rates and unit conversionslive →similarity, scale drawings and plansin the apppythagoras theorem and trigonometric ratiosin the app
this is one of 865

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knowherehsc mathematics standard 1bearings, elevation and compass radial surveys