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 that

see 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 9063