A boy 14 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.

  • A 70º
  • B 47º
  • C 19º
  • D 8º
waec 2022mathematics

The correct answer is A. 70º

The angle of elevation

= Tan Î¸ = \(\frac{opp}{adj}\)

Tan θ = \(\frac{12+14}{10}\)

Tan Î¸ =  \(\frac{26}{10}\)

θ = Tan\(^{-1}\)(2.6)

θ â‰ˆ 70º

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