Solve for x. -12 < -3x - 15 ≤ 36

Enter your answer, as one inequality, in the box

Thank you! :)

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Ответ:

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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Solve for x. -12 < -3x - 15 ≤ 36 Enter your answer, as one inequality, in the box Thank you! :)