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Let, AB be the height of the plane when it started landing =h.
and AC be the distance travelled by the plane during the landing.
Time taken =54 sec = 54/3600
From diagram,
l∥BC⇒∠ACB=20o
AC = Distance = Speed×time = 200×54/3600km = 3 km
From ΔABC
sin20o=ACAB
⇒0.342=3h
⇒h=3×0.342
⇒h=1.026
Hence, the height of the plane was 1.026 km.
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