Capital Gate Tower is 150 meters tall (measured vertically from the ground) and makes a 72° angle with the ground. If you were to climb to the top and then accidently drop your keys, how far from the base

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Ian Gregory asked Oct 11, 2023

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13 votes

Capital Gate Tower is

150 meters tall
(measured vertically
from the ground) and
makes a 72° angle
with the ground. If
you were to climb to
the top and then
accidently drop your
keys, how far from
the base of the tower
would they land?

Mathematics
college

Ian Gregory asked Oct 11, 2023

by Ian Gregory

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17 votes

Answer:

Explanation:

$(150)/(x) =tan72 \\x=150 cot~72=150 cot(90-18)=150 ~tan ~18 \approx 48.74 ~meteres$

Tarydon answered Oct 17, 2023

by Tarydon

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