Exam Style Question
Worked solutions to typical exam type questions that you can reveal gradually
Question id: 207. This question is similar to one that appeared in an IB Studies paper in 2015. The use of a calculator is allowed.
A drone flying test course is in the shape of a triangle, ABC, with AB = 400m , BC = 600m and angle ABC = 44o. The course starts and finishes at point A.
(a) Calculate the total length of the course to the nearest metre.
It is estimated that a drone can travel at an average speed of 4.5ms–1.
(b) Calculate an estimate of the time taken to fly around the course. Give your answer to the nearest minute.
(c) Find the size of angle ACB.
To comply with safety regulations, the area inside the triangular course must be kept clear of people, and the shortest distance from B to AC must be greater than 275 metres.
(d) Calculate the area that must be kept clear of people.
(e) Determine, giving a reason, whether the course complies with the safety regulations.
The course is viewed from a tower which rises vertically from point A. The top of the tower is point T. The angle of elevation of T from B is 8o.
(f) Calculate the vertical height, AT , of the tower.
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 - 2017 Transum Mathematics :: For more exam type questions and worked solutions go to Transum.org/Maths/Exam/