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navik [9.2K]
4 years ago
15

Eric is hanging a rectangle mirror that has a diagonal of 47 inches with an angle of depression of 60°. How many square inches i

s the mirror? (round to nearest tenth)

Mathematics
2 answers:
andrew11 [14]4 years ago
6 0
Check the picture below.

notice, the width is the cosine and the length is the sine.

\bf sin(60^o )=\cfrac{y}{47}\implies 47\cdot sin(60^o)=y\implies 47\cdot \cfrac{\sqrt{3}}{2}=y
\\\\\\
\cfrac{47\sqrt{3}}{2}=\stackrel{length}{y}\\\\
-------------------------------\\\\
cos(60^o )=\cfrac{x}{47}\implies 47\cdot cos(60^o)=x\implies 47\cdot \cfrac{1}{2}=x
\\\\\\
\cfrac{47}{2}=\stackrel{width}{x}\\\\
-------------------------------\\\\
x\cdot y\implies \cfrac{47\sqrt{3}}{2}\cdot \cfrac{47}{2}\implies \cfrac{2209\sqrt{3}}{4}\impliedby \textit{area of the mirror}

ch4aika [34]4 years ago
5 0

Answer:

A is correct

Step-by-step explanation:

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