Neco 2022 Further Mathematics Question 8

Practice essay / theory question 8 from the 2022 Neco Further Mathematics examination. This question covers Trigonometry and Circular Functions .

Neco 2022 Further Mathematics Essay / Theory

Topic: Trigonometry and Circular Functions

Question 8 NECO • 2022 • FURTHER_MATHEMATICS • essay

A surveyor measures the angle of elevation to the top of a vertical tower from two points \(A\) and \(B\) on level ground. Points \(A\) and \(B\) lie on a straight line with the foot of the tower, and \(B\) is nearer the tower. The distance \(AB\) is 50 m. The angle of elevation from \(A\) is \(30^{\circ}\) and from \(B\) is \(45^{\circ}\).

( a )

Find the height of the tower.

( b )

Find the horizontal distance from point \(B\) to the foot of the tower.

( c )

At the same instant, the sun’s altitude angle is \(60^{\circ}\). Determine the length of the shadow cast by the tower on the ground.

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This is Neco 2022 Further Mathematics Question 8. It is one of the essay questions from the 2022 Neco Further Mathematics examination.

The question covers Trigonometry and Circular Functions .

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