Mathematics: Find the height of mount rushmore. show your work.

Find the height of mount rushmore. show your work.

Ответ:

Jolenesopalski

31.12.2021

Mathematics

The height of Mount Rushmore is $560.18\ ft$

Step-by-step explanation:

we know that

$tan(48\°)=(x+60)/y$

$y=(x+60)/tan(48\°)$ -----> equation A

$tan(44.76\°)=x/y$

$y=x/tan(44.76\°)$ -----> equation B

equate equation A and equation B and solve for x

$(x+60)/tan(48\°)=x/tan(44.76\°)\\\\(x)tan(44.76\°)+(60)tan(44.76\°)=(x)tan(48\°)\\\\(x)tan(48\°)-(x)tan(44.76\°)=(60)tan(44.76\°)\\\\x=(60)tan(44.76\°)/(tan(48\°)-tan(44.76\°))\\\\x=500.18\ ft$

Find the height of Mount Rushmore

The height is equal to

$x+60=500.18+60=560.18\ ft$

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Find the height of mount rushmore. show your work.

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