Question

A ladder reaches a window that is 8cm above the ground on one side of the street keeping the foot on the same point,the ladder is turned to the other side of the street to reach a window 12cm high.what is the width of the street if the ladder i s 13cm

Answer 1

8*8 + x*x = 13*13 (x = distance of ladder from one side of wall)
x*x = 169 -64
x*x = 125
x = 5√5cm
12*12 + y*y = 13*13
y*y = 169 - 144
y*y = 25
y = 5cm
total width of road = 5(1+√5) cm

Answer 2

Answer:

Let AB be the lighthouse and C and D be the positions of the ships.

Then, AB = 100 m, ACB = 30° and ADB = 45°.

AB = tan 30° = 1 AC = AB x 3 = 1003 m.

AC 3

AB = tan 45° = 1 AD = AB = 100 m.

AD

CD = (AC + AD) = (1003 + 100) m

= 100(3 + 1)

= (100 x 2.73) m

= 273 m.