Neco 2018 Mathematics Question 12

Practice essay / theory question 12 from the 2018 Neco Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Neco 2018 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 NECO • 2018 • MATHEMATICS • essay

In the coordinate plane, triangle ABC is positioned such that point A is at the origin O(0,0) and side AB lies along the positive x‑axis. The length of AB is 8 cm, \(\angle A = 40^{\circ}\) and \(\angle B = 70^{\circ}\).

Question Parts

( a )

Determine the coordinates of point C (give your answer to two decimal places).

( b )

Find the equation of line AC.

( c )

Calculate the length of the altitude from C to side AB.

( d )

Find the area of triangle ABC (express your answer to two decimal places).

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About This Question

This is Neco 2018 Mathematics Question 12. It is one of the essay questions from the 2018 Neco Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

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