What is the shaded region of 14m & 8m

Mathematics

1 answer:

natali 33 [55]3 years ago

4 0

Area is length x width.
With this one, what we have to do is work out the area of the larger square and the smaller, inside square, and take one from the other.

The larger one is 14 x 14 = 196.
The smaller one is 8 x 8 = 64
So, 196 - 64 = 132m²

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raketka [301]

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LenKa [72]

Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

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

which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}$

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode