WAEC - Mathematics (2022 - No. 26)
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.
70º
47º
19º
8º
Explanation
The angle of elevation
= Tan θ = \(\frac{opp}{adj}\)
Tan θ = \(\frac{12- 1.4}{10}\)
Tan θ = \(\frac{10.6}{10}\)
θ = Tan\(^{-1}\)(1.06)
θ ≈ 47º