que :- two poles of height 9m and 14m stand upright on a plane ground. if the distance in between their feet is 12 m, then find the distance between their tops
Pls explain with the answer
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Answer:13
Step-by-step explanation:By using pythagoras theorem we find the required distance as shown in figure.
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let AB and CD be the two poles then distant beret their feet will be BD and here we have to find out the distance between their topes mean AC so just draw a straight line through the top of the smaller poles so that it cuts the bigger pole at any point say point P,
then we got a triangle ACP here,
here
AP=14 cm-9cm=5 cm,
CP=BD=12 cm,
now just applying the Pythagoras theorem in ∆ACP, we get
AC²=AP²+CP²,
AC²=5²+12²,
AC²=25+144,
AC²=169,
then
AC=√169,
AC=√(13×13),
AC=13 cm
then we got a triangle ACP here,
here
AP=14 cm-9cm=5 cm,
CP=BD=12 cm,
now just applying the Pythagoras theorem in ∆ACP, we get
AC²=AP²+CP²,
AC²=5²+12²,
AC²=25+144,
AC²=169,
then
AC=√169,
AC=√(13×13),
AC=13 cm
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