Applications of right-angled trigonometryIB MYP Maths Standard: Flashcards

What these 14 flashcards ask

State SOH CAH TOA.
State Pythagoras' theorem.
How do you find an angle from two sides?
What is the angle of elevation?
What is the angle of depression?
How are the angles of elevation and depression between two points related?
A ship sails 40 km on a bearing of 035^\circ. How far north has it gone?
A ship sails 40 km on a bearing of 035^\circ. How far east has it gone?
What is the angle between a line and a plane?
A cuboid has edges 8, 6 and 5 cm. Find the space diagonal.
In a square-based pyramid, which triangle is right-angled?
What is the distance from a corner to the centre of a square of side 10 cm?
Why should you not round in the middle of a calculation?
What should you say at the end of a real-life (D) question?

Exam questions on Applications of right-angled trigonometry

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).