Trigonometry Studio

Intermediate → Advanced

Shadows, ladders, lighthouses and peaks: collect the sine, cosine and tangent as tools, then crack boards with them.

Right triangles

8

The ladder

Worked exampleSine

The ramp

The kite

CosinePythagoras

Thirty degrees

SineCosineSpecial right triangles

One ratio is enough

SinePythagorasTangent

Which angle?

TangentAngle from a ratio

The roof

CosineSpecial right triangles

Across the hexagon

Polygon sumIsosceles triangleSineSpecial right triangles

Heights and distances

5

The pyramid's shadow

Worked exampleSimilar triangles

The tallest tree

The lighthouse

Parallel linesTangentSpecial right triangles

Two boats

Parallel linesTangentSpecial right triangles

Measuring a peak

Exterior angleIsosceles triangleSineSpecial right triangles

Any triangle

5

Two sides and an angle

Worked exampleArea from an angleSpecial right triangles

The near miss

The widest angle

Law of cosinesAngle from a ratio

Two angles and a side

Law of sinesSpecial right triangles

Fencing the field