Exam-Style Question on Trigonometry
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 603. This question is typical of the type of question in a GCSE Higher examination. The use of a calculator is allowed.
Taptaya Park Tower is over two hundred metres tall. There is a zip wire from the observation deck to a point on the ground 550 metres away in a northerly direction.
(a) If the beginning of the zip wire is 210 metres above the ground find the angle of depression of the end point of the zip wire as seen from the beginning.
It is decided that the zip wire is slightly too steep so the end point is moved so that it is now further away.
(b) Find the horizontal distance if the angle of elevation of the beginning of the zip wire as seen from the end is now 18o.
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