Question

Jenny reaches the corner to clear away spider webs from the room. She is holding the 5 foot pole at top of head level from 45. She is 5 feet 6 inches tall. How high is the ceiling?

Answer 1

Answer:

Height of ceiling = 9.04ft

Step-by-step explanation:

Given:

Length of pole = 5ft

Horizontal angle = $45^{0}$

Jenny's height = 5ft6in = 5ft + (6/12)ft= 5ft + 0.5ft

Jenny's height =  5.5ft

From the attached diagram, we have that

$sin45^{0}= \frac{b}{5}\\ \\b = sin45^{0}*5=0.7071*5\\\\b=3.5355ft$

b ≅ 3.54ft

Height of ceiling = Height of Jenny + b

Height of ceiling = 5.5ft + 3.54ft

Height of ceiling = 9.04ft