SOLUTION: This question is very hard and I get it wrong everytime so I hope you can help. A 90-foot tall lakefront hotel casts a showdow on the water. How long is the shawdow if a near

Question 118263: This question is very hard and I get it wrong everytime so I hope you can help.
A 90-foot tall lakefront hotel casts a showdow on the water.
How long is the shawdow if a nearby 10-foot tall basketball hoop casts a 7-foot shawdow?
PLEASE RESPOND AND THANKYOU!
Found 3 solutions by TP, jim_thompson5910, MathLover1:
Answer by TP(29)   (Show Source): You can put this solution on YOUR website!
Since the hotel is 9 times the height of the hoop then the hotel's shadow must be 9 times the length of the hoop's shadow.
So the length of the hotel's shadow is 9*7=63 feet.ANS
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let x=length of hotel's shadow

Notice there's a relationship between the height of the object and the length of the shadow. So we have this ratio:

Notice the shadow lengths are the numerators and the denominators are the objects heights.

Multiply both sides by 90

Multiply

Simplify

So our answer is

So the length of the hotel's shadow is 63 ft.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

��divide by

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....lakefront hotel casts a showdow on the water

Check:

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