He bell tower of the cathedral in pisa, italy, leans 5.6 from the vertical. a tourist stands 105 m from its base, with the tower leaning directly toward her. she measures the angle of elevation to the top of the tower to be 29.2. find the length of the tower to the nearest meter.
Question
Answer:
we know thatsee the attached figure to better understand the problem
the sinus law establishes
a/sin A=b/sin B=c/sin C
in this problem
a=105 m
A=66.4°
b=AB (length of the tower)
B=29.2°
then
a/sin A=b/sin B-----------> b=a*sin B/sin A-------> 105*sin 29.2°/sin 66.4°
b=55.90 m
the answer is
the length of the tower is 56 m
solved
general
11 months ago
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