A boy 1.4 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy’s eyes.
- 70ยบ
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47ยบ
- 19ยบ
- 8ยบ
The correct answer is: B
Explanation
The angle of elevation
= Tan ฮธ = \(\frac{opp}{adj}\)
Tan ฮธ = \(\frac{12- 1.4}{10}\)
Tan ฮธ = \(\frac{10.6}{10}\)
ฮธ = Tan\(^{-1}\)(1.06)
ฮธ โ 47ยบ