A vertical pole 12 feet high casts a shadow 8 feet long on the ground. At the same time, a nearby tower casts a 40 feet long shadow on the ground.
What is the height of the tower?
2.4 feet
26.67 feet
60 feet
72 feet
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OpenStudy (ehall):
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OpenStudy (sanoofy):
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OpenStudy (sanoofy):
Ohhh ok you already drew it.
OpenStudy (ehall):
yes i did
OpenStudy (sanoofy):
Nvm, nvm I'll do it.
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OpenStudy (sanoofy):
I'll show you step by step.
OpenStudy (ehall):
ok thank you
OpenStudy (the_fizicx99):
60
OpenStudy (sanoofy):
So since the smaller triangles ratio to the big triangle is x5 because 8x5=40, so you will multiply 12x5= 60 and therefore, so therefore it is 60 for the height.
OpenStudy (sanoofy):
The ratio of the smaller triangle to the bigger triangle is 1:5, so yes it is 60.
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OpenStudy (ehall):
oh ok you make it seem so easy but thank you all for helping me
OpenStudy (sanoofy):
No problem! And it is, once you get the gist of it, though it will take time, hard work and focus pays off!