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ICSE Class 10 Answered

An aeroplane when flying at a height of 3125m from the ground passes vertically below another plane at an instant when the angles of elevation of the two planes from  the same point on the ground are 30​​​​​​​ degree and 60 degree respectively, Find the distances between the two planes at the instant.
Asked by jaiswalsindhuli717 | 05 Nov, 2018, 09:15: PM
answered-by-expert Expert Answer
 
 
 
Consider plane 1 is at A and plane 2 is at B.
Consider ΔBCD,
tan 30° = begin mathsize 16px style BC over CD equals 3125 over CD end style
begin mathsize 16px style square root of 3 equals 3125 over CD CD equals fraction numerator 3125 over denominator begin display style fraction numerator 1 over denominator square root of 3 end fraction end style end fraction equals 5412.5 space straight m In space increment ACD comma tan space 60 degree equals AC over CD equals fraction numerator AC over denominator 5412.5 end fraction AC equals 5412.5 cross times square root of 3 equals 9375 space straight m The space distance space between space two space planes space AB equals AC minus BC AB equals 9375 minus 3125 equals 6250 space straight m end style
Answered by Sneha shidid | 08 Nov, 2018, 11:47: AM

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