A firefighter's ladder of length 41 meters is resting against a wall and makes an angle x with the ground such that sin x = 40/41. Find the horizontal distance of the foot of the ladder from the wall.
A.9 meters✓ Correct
B.6 meters
C.12 meters
D.5 meters
Explanation
sin x = 40/41 means the vertical height = 40 m. Using Pythagoras: horizontal distance = √(41² − 40²) = √(1681 − 1600) = √81 = 9 meters.
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