Bece Model Questions Vol1 2020 Mathematics Question 8

Practice essay / theory question 8 from the 2020 Bece Model Questions Vol1 Mathematics examination. This question covers Approximation, Trigonometry, Linear interpolation, Mensuration .

Bece Model Questions Vol1 2020 Mathematics Essay / Theory
Topics: Approximation Trigonometry Linear interpolation Mensuration
Question 8 BECE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • essay

A tree casts a shadow that is 12.5 metres long. The angle of elevation of the sun is measured with a clinometer that only gives readings at 30° and 35°. The recorded reading is 33°, which must be estimated by linear interpolation between the two known values. Given: - tan 30° = 0.577 - tan 35° = 0.700 Using linear interpolation, estimate tan 33° and then determine the height of the tree, giving your final answer to the nearest metre.

Question Parts

( a )
Perform a linear interpolation to estimate tan 33° using the given values for tan 30° and tan 35°.
( b )
Using the interpolated value of tan 33°, calculate the height of the tree and round your answer to the nearest metre.

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About This Question

This is Bece Model Questions Vol1 2020 Mathematics Question 8. It is one of the essay questions from the 2020 Bece Model Questions Vol1 Mathematics examination.

The question covers Approximation, Trigonometry, Linear interpolation, Mensuration .

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