Neco Model Questions Vol1 2024 Mathematics Question 12

Practice essay / theory question 12 from the 2024 Neco Model Questions Vol1 Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Neco Model Questions Vol1 2024 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 NECO_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

In the diagram, triangle ABC is shown. ∠A = 30°, ∠B = 70° and side AB = 12 cm. The triangle is placed in a rectangular coordinate system such that point A is at the origin (0,0) and side AB lies on the positive x‑axis.

Question Parts

( a )

Find the lengths of sides AC and BC. Give your answers correct to two decimal places.

( b )

Determine the coordinates of point C. Give each coordinate correct to two decimal places.

( c )

Write the equation of the straight line through C that is perpendicular to AB.

( d )

The perpendicular line in part (c) meets AB at point D. (i) Find the coordinates of D. (ii) Using points A, C and D, calculate the area of triangle ACD. Give the area to two decimal places.

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About This Question

This is Neco Model Questions Vol1 2024 Mathematics Question 12. It is one of the essay questions from the 2024 Neco Model Questions Vol1 Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

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