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jeka94
4 years ago
15

Find the height of Mount Rushmore. Show your work.

Mathematics
1 answer:
Nuetrik [128]4 years ago
7 0

Answer:

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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