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Question

Two vertical poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.


Solution

Two poles A and B of height 9m and 14m stand on a plane ground.
If the horizontal distance between the two poles is 12m, find the distance between the tops.
:
this can form a right triangle we can solve.
one side; the difference between the heights of the poles, 14-9 = 5m
one side; the horizontal distance between the poles give as 12 m
The distance between the tops is the hypotenuse (h)
h squared equals 5 squared plus 12 squared
h squared = 25 + 144
h squared = 169
h = square root of 169
h = 13 m between the tops of the poles

 

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