What is 0.63 divided by 0.21 (can you please show work)

Mathematics

2 answers:

SashulF [63]2 years ago

8 0

$\dfrac{0.63}{0.21}=\dfrac{0.63 \times 100}{0.21 \times 100}=\dfrac{63}{21}=\dfrac{21 \times 3}{21}=3$

____ [38]2 years ago

7 0

Answer: in the file

Step-by-step explanation: in the file

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Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle

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We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as $x$ .
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
$cos(59)= \frac{19}{h}$
$h= \frac{19}{cos(59)}$
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Now we can use the law of sines to find the distance $x$ between Paul and Jose:
$\frac{sin(43)}{36.9} = \frac{sin(16)}{x}$
$x= \frac{36.9sin(16)}{sin(43)}$
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Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
$19m+14.9=33.9m$

We can conclude that Jose is 33.9m from the base of the tree.