Math, asked by vishu9710, 11 months ago

AB is a tree. At point C two monkeys are sitting.Point D is a well. BC = 5m ,BD =10m. If one monkey comes down to point B and goes to the well . Another comes to point A and directly jumps to point D . If both the distance are equal then find AC and height of the tree​

Answers

Answered by amitnrw
1

AC = 2.5 m  , Height of Tree  = 7.5 ,

Step-by-step explanation:

Distance traveled by monkey who comes doen to B and  go to well D

= BC + BD

= 5 + 10

= 15 m

Let say AC = x  m

Distance traveled by monkey who goes to A & jump

= AC + AD

= x + AD  

x + AD = 15 m

=> AD = 15 - x  m

AD² = AB² + BD²

=> (15 - x)² = ( AC + BC)² + BD²

=> 225 + x² - 30x =  ( x + 5)² + 10²

=> 225 + x² - 30x = x² + 25 + 10x + 100

=> 100 = 40x

=> x = 2.5

AC = 2.5 m

Height of Tree AB = AC + BC = 2.5 + 5 = 7.5 m

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