Mathematics: What is the height of the building pictured below if its shadow is 100 ft. long?

What is the height of the building pictured below - id3888256, HolaConcheeDaBrycee

Ответ:

kaylatunell123

10.01.2022

Yeah.. baby, do the SOH CAH TOA with the hula hoop

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

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

so.. hmmm we have in the picture, an angle, and two sides,
actually, is the "adjacent" side, and the "opposite"

so.. which of those ratios give us only
the angle
the adjacent side
the opposite side?

ahhha!, is Ms tangent
so $\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(42^o)=\cfrac{h}{100}$

solve for "h"

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Ответ:

kylee76

06.01.2021

Mathematics

Your answer will be 1.35

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What is the height of the building pictured below if its shadow is 100 ft. long?

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