Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The bearings of ships A and B from a point P are $225^\circ$ and $116^\circ$ respectively. Ship A is...
TrigonometryBearingsSine RuleTriangle Geometry
2025/3/17
We are given a triangle with one side $AB = 3.9$ km. We are given an exterior angle at vertex $F$ eq...
TriangleLaw of SinesAnglesTrigonometry
2025/3/17
The bearings of ships A and B from point P are $225^\circ$ and $116^\circ$ respectively. Ship A is 3...
TrigonometryBearingsLaw of SinesTriangle Geometry
2025/3/17
The bearings of ships A and B from point P are $225^\circ$ and $116^\circ$ respectively. The distanc...
TrigonometryLaw of SinesBearingsTriangles
2025/3/17
The bearings of ships A and B from a point P are $225^\circ$ and $116^\circ$ respectively. The dista...
TrigonometryLaw of SinesBearingsTriangle Geometry
2025/3/17
A house has a bearing of $319^\circ$ from point A. Point B is 317 meters due east of A. The bearing ...
TrigonometryBearingsLaw of SinesTriangles
2025/3/17
A girl starts at point A and walks 285m to point B on a bearing of $078^\circ$. She then walks due s...
TrigonometryBearingCosine RuleTriangles
2025/3/17
A girl starts from point A and walks 285m to point B on a bearing of 078 degrees. She then walks due...
TrigonometryBearingTriangleCosine RuleSine RuleCoordinate Geometry
2025/3/16
Given two vectors $\vec{a} = \vec{i} - \vec{j}$ and $\vec{b} = -\vec{i} + p\vec{j} + 2\vec{k}$ in $R...
VectorsVector ProjectionDot ProductMagnitude3D Geometry
2025/3/16
We are given a regular hexagon ABCDEF. We are given that $\vec{AB} = \vec{u}$ and $\vec{BC} = \vec{v...
VectorsHexagonGeometric VectorsVector AdditionRegular Polygon
2025/3/16