Question

25. A village has a circular wall around it, and the wall has four gates pointing north. south
east and west. A tree stands outside the village, 16 m north of the north gate, and it can be just
seen appearing on the horizon from a point 48 m east of the south gate. What is the diameter
in meters of the wall that surrounds the village?​

Answer 1

Answer:

Step-by-step explanation:

Let radius equals to r

AB =

 

2 2 2 2 AO OB 16 r r     = 256 32r 

AD2 + CD2 = AC2

 (48)2 + (2r + 16)2 =  

2

48 256 32r  

 r

2 + 8r = 24

256 32r 

 r(r + 8)_ = 24 ×

4 2 r 8 

 r

r 8 

= 24

32

 r = 24

Diameter equal to 48