Answer:
Height of ceiling = 9.04ft
Step-by-step explanation:
Given:
Length of pole = 5ft
Horizontal angle = [tex]45^{0}[/tex]
Jenny's height = 5ft6in = 5ft + (6/12)ft= 5ft + 0.5ft
Jenny's height = 5.5ft
From the attached diagram, we have that
[tex]sin45^{0}= \frac{b}{5}\\ \\b = sin45^{0}*5=0.7071*5\\\\b=3.5355ft[/tex]
b ≅ 3.54ft
Height of ceiling = Height of Jenny + b
Height of ceiling = 5.5ft + 3.54ft
Height of ceiling = 9.04ft