Applications of right-angled trigonometryIB MYP Maths Extended: Mind map

Exam questions on Applications of right-angled trigonometry

1. A cuboid $ABCDEFGH$ has a rectangular base $ABCD$ with $AB=8$ cm and $BC=6$ cm. The vertical edges are $AE$, $BF$, $CG$ and $DH$, and $AE=5$ cm.
   Find the angle between $AG$ and the base $ABCD$.2 marks
2. A pyramid has a square base $PQRS$ of side $10$ cm. Its apex $V$ is directly above the centre $M$ of the base, and $VM=12$ cm.
   Find the angle between $VP$ and the base.2 marks
3. A ship leaves port $P$ and sails $40$ km on a bearing of $035^\circ$ to a point $Q$. A lighthouse $L$ is $50$ km due north of $P$.
   Find how far $Q$ is north of $P$ and how far $Q$ is east of $P$. Give both answers to $3$ significant figures.3 marks