Exam-Style Question on Trigonometry
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 87. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.
Neung is at Bangkok's Suvarnabhumi Airport watching the planes take off. He observes a plane that is at an angle of elevation of 25o from where he is standing at point N. The plane is at a height of 390 metres as can be seen in the following diagram (not to scale).
(a) Calculate the horizontal distance, NH, of the plane from Neung. Give your answer to the nearest metre.
The plane took off from a point T, which is 230 metres from where Neung is standing, as shown in the following diagram (not to scale).
(b) Calculate the angle ATH, the take-off angle of the plane to the nearest degree.
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 - 2021 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/