# Find the height of Mount Rushmore. Show your work.

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## Answers

Answer:The height of Mount Rushmore is [tex]560.18\ ft[/tex]Step-by-step explanation:we know that[tex]tan(48\°)=(x+60)/y[/tex][tex]y=(x+60)/tan(48\°)[/tex] -----> equation A[tex]tan(44.76\°)=x/y[/tex][tex]y=x/tan(44.76\°)[/tex] -----> equation Bequate equation A and equation B and solve for x[tex](x+60)/tan(48\°)=x/tan(44.76\°)\\\\(x)tan(44.76\°)+(60)tan(44.76\°)=(x)tan(48\°)\\\\(x)tan(48\°)-(x)tan(44.76\°)=(60)tan(44.76\°)\\\\x=(60)tan(44.76\°)/(tan(48\°)-tan(44.76\°))\\\\x=500.18\ ft[/tex]Find the height of Mount RushmoreThe height is equal to[tex]x+60=500.18+60=560.18\ ft[/tex]

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