Answer:
120 feet
Step-by-step explanation:
If the light house shadow is 48 feet long, your friend is 5.5 feet tall and casts a shadow of 2.2 feet long we can determine the height of the lighthouse. We can assume that your friend stand next to the lighthouse and their shadows are adjacent. We can therefore determine the percentage of shadow cast based on the height of your friend by taking the ratio of height to shadow:
[tex]=5.5/2.2=2.5[/tex]
Therefore the height of your fried is 2.5 times the length of the shadow. Therefore the light house height is 2.5 times its shadow:
[tex]2.5\cdot{48}=120[/tex]
The height of the lighthouse is 120 feet tall
