NECO Mathematics 2022 Objective — Question 28
Question 28 of 50 from the National Examinations Council (NECO) Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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A boy 1.4m tall stood 10m away from a tree of height 12m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.
- A. 71 degrees
- B. 47 degreesCorrect
- C. 19 degrees
- D. 8 degrees
Explanation
Effective height = 12-1.4 = 10.6m. tan(theta) = 10.6/10 = 1.06. theta = arctan(1.06) = 46.67 degrees, approximately 47 degrees.
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