A ladder placed in a street at 60° to the ground just reaches a window 6√3 m high on one side. Keeping its foot fixed, it is turned to the other side and reaches a window 6 m high. Find the width of the street.
Competition practiceTrigonometry
A6(√3 − 1) m
B12√3 m
C18 m
D6(√3 + 1) m
Step-by-Step Solution
Ladder =sin60∘63=12. Other side: sinθ=126,θ=30∘. Width =12cos60∘+12cos30∘=6+63 m.
Answer: D) 6(√3 + 1) m
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