A ladder 6m long leans against a vertical wall at an angle 53º to the horizontal. How high up the wall does the ladder reach?
A
3.611m
B
4.521m
C
4.792m
D
3.962m
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Sin \theta = \(\frac{opp}{hyp}\) → \(\frac{x}{6}\)
cross multiply:
sin53º * 6 = x
0.7986 * 6
4.792m
Source: WAEC / JAMB / NECO Classroom Archive (Record #64826)