Given :
A 136 foot tall cell phone tower casts a 79.9 foot shadow.
To Find :
The shadow length for a nearby 40 foot telephone pole .
Solution :
We know , the ratio of height and shadow , will be same for every object .
Let , length of shadow of pole is x .
So ,
[tex]\dfrac{79.9}{136}=\dfrac{x}{40}\\\\x=\dfrac{79.9\times 40}{136}\ foot\\\\x=23.5\ foot[/tex]
Therefore , the length of shadow of tower is 23.5 foot .
Hence , this is the required solution .
Answer:
x = 40ft/23.5ft
Step-by-step explanation:
[tex]\frac{136ft}{79.9ft}[/tex] = [tex]\frac{40ft}{x}[/tex]
136x = 79.9 · 40
136x = 3196
136 ÷ 136 = 3196 ÷ 136
[tex]\frac{136ft}{79.9ft}[/tex] = [tex]\frac{40ft}{23.5ft}[/tex]
