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.
A
70º
B
47º
C
19º
D
8º
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
The angle of elevation
= Tan \theta = \(\frac{opp}{adj}\)
Tan \theta = \(\frac{12- 1.4}{10}\)
Tan \theta = \(\frac{10.6}{10}\)
\theta = Tan\(^{-1}\)(1.06)
\theta ≈ 47º
Source: WAEC / JAMB / NECO Classroom Archive (Record #64834)