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A person stand on a tower and he found a car after 12 minut the angel of elevation increase 30 to 45 find the time in that car  reach to tower

Asked by Ak9639315541 21st February 2018, 8:52 PM
Answered by Expert
Answer:
begin mathsize 16px style angle PQR equals 30 degree comma angle PRS equals 45 degree
Let space height space of space tower space be space straight h space and space distance space of space RS equals straight y
Let space the space speed space of space the space car space by space straight x space straight m divided by min
QR equals 12 straight x
QS equals QR plus RS
equals 12 straight x plus straight y
In space increment RSP
tan space 45 degree equals PS over RS
1 equals straight h over straight y
straight h equals straight y........... left parenthesis straight i right parenthesis
In space increment QSP
tan 30 degree equals PS over QS
fraction numerator 1 over denominator square root of 3 end fraction equals fraction numerator straight h over denominator 12 straight x plus straight y end fraction
straight h square root of 3 equals 12 straight x plus straight y......... left parenthesis ii right parenthesis
From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis
straight y square root of 3 equals 12 straight x plus straight y
straight y open parentheses square root of 3 minus 1 close parentheses equals 12 straight x plus straight y
On space simplifying space you space get space straight y equals 16.392 straight x
time equals distance over speed equals fraction numerator 16.392 straight x over denominator straight x end fraction equals 16.392 space min end style
Answered by Expert 22nd February 2018, 11:05 AM
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