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Solution


Q.

Due to short circuit, a fire has broken out in New Home Complex. Two buildings, namely X and Y have mainly been affected. The fire engine has arrived and it has been stationed at a point which is in between the two buildings. A ladder at point O is fixed in front of the fire engine.

The ladder inclined at an angle 60° to the horizontal is leaning against the wall of the terrace (top) of the building Y. The foot of the ladder is kept fixed and after some time it is made to lean against the terrace (top) of the opposite building X at an angle of 45° with the ground. Both the buildings along with the foot of the ladder, fixed at ‘O’ are in a straight line.

Based on the above given information, answer the question :

Q.   Find the horizontal distance between the two buildings.

Ans.

(12(1+2))

OP = OR = 24 m

∴ In ∆OCR, cos450=OC24=12

⇒OC=122m

∴ distance between two buildings = OA + OC

=(12+122)m or 12(1+2)m