Exam-Style Question on Trigonometry
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 107. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.
The Tamarack triathlon race consists of swimming, cycling and running. Competitors swim from A to B, then cycle from B to C and finally run from C back to A.
Angle ACB is 22o.
It takes Walter 10 minutes and 20 seconds to cycle from B to C at a speed of 29kmh-1.
(a) Find the distance from B to C in kilometres.
The distance from C to A is 4 kilometres. Running this part of the course takes Walter 25 minutes.
(b) Calculate the speed, in kilometres per hour, that Walter runs from C to A.
(c) Calculate the distance, in kilometres, from A to B.
(d) Calculate the total distance, in kilometres, of the triathlon course.
(e) Find the size of angle ABC.
(f) Calculate the area of the triathlon course bounded by the lines AB, BC and CA.
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
©1997 - 2019 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/