SOLUTION: a 90-foot tall lakefront hotel casts a shadow on the water. how long is the shadow if a nearby 10-foot tall hoop casts a 7-foot shadow? explain. suppose the height of the hot

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Question 252944: a 90-foot tall lakefront hotel casts a shadow on the water.
how long is the shadow if a nearby 10-foot tall hoop casts a 7-foot shadow? explain.
suppose the height of the hotel was 180 feet tall.
how would the change affect your answer?explain.
Answer by drk(1908) (Show Source):
You can put this solution on YOUR website!
This is a proportion problem:
building ht / building shadow = hoop ht. / hoop shadow. We can see this better as:
(i) =
we are given building_ht = 90
hoop_ht = 10
hoop_shadow = 7.
We need to find building_shadow = B.
place this information into (i) to get
(ii) =
cross multiply to get
(iii)
B = building_shadow = 63 ft.
--
Now if building_ ht = 180, we get
(iii) =
cross multiply to get
(iv)
B = building_shadow = 126 ft.
--
We can see that double the ht means double the shadow.