Mathematics
04.05.2021 12:41
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The area of the pacific ocean is 165 million km2. use 15 million km2 as the area

The area of the pacific ocean is 165 million km2. use 15 million km2 as the area of the garbage patch. what is the ratio of the area of the garbage patch to the area of the pacific ocean?
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gd9075
gd9075
5,0(2 marks)
A ratio is simply a fraction where the first term is the numerator and the second term is the denominator. For this problem, we just need to simplify the fraction of the area of the garbage patch over the area of the pacific ocean.

Doing this we'll have:
\frac{15,000,000}{165,000,000}= \frac{1}{11}

ANSWER: The ratio of the area of the Garbage Patch to the area of the Pacific Ocean is 1:11 or \frac{1}{11}.
tmrsavage02p7cj16
tmrsavage02p7cj16
4,8(38 marks)
Check the picture below

recall your SOH CAH TOA

\bf in(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}

we have,
the angle,
the hypotenuse,
we want the opposite side

which of those fellows have only that? ahhhh it has to be Ms Sine,
so let's ask her
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(75^o)=\cfrac{x}{100}\implies 100\cdot sin(75^o)=x

the opposite side "x", is how tall the tree is

when taking the sine function, make sure your calculator is in Degree mode, since the angle is in degrees

Suppose you're flying a kite, and it gets caught at the top of the tree. you've let out all 100 feet

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