A streetlight that is 9 feet tall casts a 2-foot-long shadow. A nearby flagpole casts a 11-foot-long shadow. What is the height
1 answer:
The height of flagpole is 49.5 feet.
Step-by-step explanation:
Given,
Shadow casted by streetlight = 2 foot
Height of streetlight = 9 feet
Ratio of shadow to height = 2:9
Shadow casted by flagpole = 11 foot
Let,
x be the height of flagpole
Ratio of shadow to height = 11:x
Using proportion
Ratio of shadow to height :: Ratio of shadow to height
Product of mean = Product of extreme
Dividing both sides by 2
The height of flagpole is 49.5 feet.
Keywords: ratio, proportion
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Answer:
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
Step-by-step explanation:
Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable
aluminum from the delivery truck to a storage area. A smaller belt
moves the same quantity of cans the same distance in 6 minutes.
To find - If both belts are used, find how long it takes to move the cans
to the storage area.
Proof -
Given that,
Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Larger belt = 4 min/ shifting
Also,
Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Smaller belt = 6 min/ shifting
Now,
As we know that Time is inversely proportional to time, so
Rate of Larger Belt = shifting/min
Rate of Smaller Belt = shifting/min
Now,
Let us assume that , if both belts used then,
Total time taken = x min/shifting
Then, Rate = shifting/min
Now,
+
=
⇒
⇒
⇒10x = 24
⇒x = = 2.4 minutes
∴ we get
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.