Trigonometry
Class 11

Sine Rule

asinA=bsinB=csinC=2R\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} = 2R
501001502345678910
a/sinA = b/sinB = c/sinC = 2R

Adjust Variables

Side a
a =
120
Angle A (deg)
A =
10170

In any triangle, side lengths are proportional to sines of opposite angles. R is the circumradius.

Real-World Applications

Surveying — Calculating distances when angles are easier to measure.

Navigation — Ship positioning using lighthouse bearings.

Architecture — Triangular roof frame calculations.

Astronomy — Stellar distance measurements using parallax.

Forensics — Bullet trajectory reconstruction.

Geography — Mapping inaccessible terrain.

Aviation — Flight path planning around obstacles.

Search and rescue — Triangulating distress signal sources.

Artillery — Calculating firing solutions.

Satellite communication — Dish alignment calculations.

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