Question

there are two poles in the garden which are 36 m apart if the poles are 15 m and 30 m high, find the difference between their tops answer for class 7​

Answer 1

CORRECT QUESTION :-

• There are two poles in the garden which are 36 m apart if the poles are 15 m and 30 m high, find the distance between their tops.

GIVEN :-

• Two poles are 36m apart from each other .
• Height of the poles are 30m and 15m respectively.

TO FIND :-

• Distance between the tops of the two poles. [ AC ]

TO KNOW :-

• Pythagoras theorem :- In a right angled triangle , square of hypotenuse is equal to sum of square of base and height.

• Hypotenuse² = Base² + Height²

HOW TO SOLVE :-

• Most important step to solve this question is to make a rough diagram by the given data. Refer the diagram attached. AB is the pole with height 30m and CD is the pole with height 15m. BD is the saperation between two poles .
• We will find AP . Then , we will find AC by Pythagoras theorem.

SOLUTION :-

We have ,

• AB = 30m
• CD = 15m
• BD = 36m

From figure ,

♦ CD = PB = 15m

♦ BD = PC = 36m

→ AB = AP + PB

→ 30 = AP + 15

→ AP = 30 - 15

→ AP = 15m

_____________

∆APC is right angled at P ,

Hence , By Pythagoras theorem,

→ AC² = AP² + PC²

→ AC² = 15² + 36²

→ AC² = 225 + 1296

→ AC² = 1521

→ AC = 39m

Hence , distance between the tops of the poles is 39m.