Neco 2023 Further Mathematics Question 8

Practice essay / theory question 8 from the 2023 Neco Further Mathematics examination. This question covers Trigonometry and Circular Functions .

Neco 2023 Further Mathematics Essay / Theory
Topic: Trigonometry and Circular Functions
Question 8 NECO • 2023 • FURTHER_MATHEMATICS • essay

A surveyor measures the angle of elevation of the top of a tower from two points A and B on level ground. The points A and B are 50 m apart along a straight line, with B nearer to the tower. The angle of elevation from A is 30°, and from B is 45°.

Question Parts

( a )
Let the horizontal distance from B to the base of the tower be d metres. Using the given angles, set up two equations involving d and the height h of the tower, and solve for h and d.
( b )
From the top of the tower, a point C on the ground lies 120 m horizontally from point A on the opposite side of the tower. Find the angle of depression from the top of the tower to point C.
( c )
If a flag is placed at the top of the tower and the sun’s altitude angle (angle above the horizon) is 60°, determine the length of the shadow cast by the tower on the ground.
( d )
Verify that tan(30°) = h / (d + 50) using the numerical values obtained for h and d.

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About This Question

This is Neco 2023 Further Mathematics Question 8. It is one of the essay questions from the 2023 Neco Further Mathematics examination.

The question covers Trigonometry and Circular Functions .

View More Neco 2023 Further Mathematics Questions More Neco Practice Questions Back to Questions

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