Exam-Style Question on Trigonometry
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 389. This question is similar to one that appeared on an IB AA Standard paper (specimen) for 2021. The use of a calculator is allowed.
Emma sails in a small dinghy from point A in a straight line to a buoy at point B. She is moving at an average speed of 19 km/h, for 6 minutes, on a bearing of 125°.
(a) Find the distance from point A to point B
(b) When Emma arrives at point B she changes direction and sails to point C on a bearing of 230° and 1 km away. Find angle ABC
(c) Find the distance from point A to point C.
(d) Find angle BCA
(e) Emma’s friend Eamonn wants to swim directly from point A to point C. Find the bearing that Eamonn must take to point C.
(f) Eamonn swims at an average speed of 3.2 km/h. Find, to the nearest minute, the time it takes for Eamonn to reach point C.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
If you need more practice try the self-checking interactive exercises called Advanced Trigonometry.
©1997 - 2020 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/