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3 years ago

15

Jamie wants to put tiles on the walls and floor of his room (but not on the ceiling). The length of his room is 10 ft, the width

is 14 ft, and the height is 12 ft. If each tile is 1 ft long and 1 ft wide, how many tiles will Jamie need/

1 answer:

slava [35]3 years ago

8 0

Answer:

Jamie would need 140 tiles.

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weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

$\angle acd = 60 ^{\circ}$

Therefore, we have

$\angle dcb =90- 60= 30 ^{\circ}$

Now, in triangle bcd, we have

$\tan30 = \frac{5}{cd}\\
\\
\frac{1}{\sqrt 3}=\frac{5}{cd}\\
\\
cd=5\sqrt 3$

Now, in triangle acb, we have

$tan 60 = \frac{ad}{5\sqrt3} \\
\\
\sqrt 3= \frac{ad}{5\sqrt3}\\
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ad= 5\sqrt3 \times \sqrt 3\\
\\
ad= 5\times 3\\
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