Mathematics: Least to greatest 1.1,0.138,1.412,and 1.414213

Check the picture belowrecall your SOH CAH TOAwe have,the angle,the hypotenuse,we want the opposite sidewhich of those fellows have only that? ahhhh it has to be Ms Sine,so let s ask herthe opposite side x , is how tall the tree iswhen taking the sine function, make sure your calculator is in Degree mode, since the angle is in degrees...

Least to greatest 1.1,0.138,1.412,and 1.414213 - id110138141214142132383810, mikemofun9079

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yeeyee69

08.02.2023

Mathematics

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

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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Least to greatest 1.1,0.138,1.412,and 1.414213

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