A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man
A
50° 54′
B
35° 06′
C
30° 00′
D
290 90′
E
29° 54′
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
From the diagram above,
Tan \(\alpha\) = \(\frac{\text{opp}}{\text{Adj}}\)
Tan \(\alpha\) = \(\frac{23}{40}\) = 0.575
\(\alpha\) = Tan\(^{-1}\) 0.575 ≈ 29.899
In degrees per minute = 29 + 0.89 x 60 = 29^\circ 54¹
Source: WAEC / JAMB / NECO Classroom Archive (Record #42332)