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CBSE Class 10 Answered

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 | 21 Feb, 2018, 08:52: PM
answered-by-expert 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 Sneha shidid | 22 Feb, 2018, 11:05: AM

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CBSE 10 - Maths
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