Neco 2020 Further Mathematics Question 8

Practice essay / theory question 8 from the 2020 Neco Further Mathematics examination. This question covers Trigonometry, Circular Functions .

Neco 2020 Further Mathematics Essay / Theory
Topics: Trigonometry Circular Functions
Question 8 NECO • 2020 • FURTHER_MATHEMATICS • essay

A lighthouse stands on a straight coastline. From point A on the coast the angle of elevation to the top of the lighthouse is \(30^{\circ}\). From point B, which is 500 m nearer to the lighthouse along the same line, the angle of elevation is \(45^{\circ}\). The light makes one complete rotation every 20 s.

Question Parts

( a )
Determine the height of the lighthouse (in metres), correct to the nearest metre.
( b )
Using the height found in part (a) and \(\pi = 3.14\), compute the linear speed of the light beam at the top of the lighthouse (in metres per second), correct to the nearest whole number.

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About This Question

This is Neco 2020 Further Mathematics Question 8. It is one of the essay questions from the 2020 Neco Further Mathematics examination.

The question covers Trigonometry, Circular Functions .

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