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valkas [14]
3 years ago
14

TEN PIONT FOR CORRECT ANSWER

Mathematics
2 answers:
a_sh-v [17]3 years ago
6 0

Answer:

E or the last one.

Step-by-step explanation:

It is none of these because you do 20 x 6 = 180

Triss [41]3 years ago
4 0

None of These

Step-by-step explanation:

It is none of these because you'd have to do 20 times 8 which is 160 but that's not one of the choices somit is None of These

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SOH CAH TOA -> \bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

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

so.. which of those fellows do we use?
well, the triangle gives us

the angle, 15 degrees, for elevation angle
the adjacent side, 50m
and we want the opposite side, the slide

so...who has only, the angle, opposite, and adjacent sides?
well, low and behold, is Ms tangent
thus
\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad 
\begin{cases}
\theta\to 15^o\\
adjacent=50\\
opposite=x-15
\end{cases}
\\ \quad \\
tan(15^o)=\cfrac{x-15}{50}\implies 50tan(15^o)=x-15\\\\ 50\cdot tan(15^o)+15=x

notice, "x" in the picture, is the distance from the ground up to the top of the waterslide, using that triangle, what we're getting is just the distance, from the shorter slide, to the taller one, or x - 15
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