Question

Two pillars of height 8 m and 14 m are 8m apart, find the distance between their top.

• A. 20 m
• B. 10 m
• C. 15 m
• D. 9 m

Answer 1

The correct option is B

10 m

The figure illustrates the situation explained in the question.

From the figure, we can say that,

AE = BC = 8 m ...(1)
BD = BC + CD
$\Rightarrow 14=8+CD\Rightarrow CD=6m$

Also, AB = EC = 8 m.

Now applying Pythagoras theorem on $△CDE$, we get,
$E{D}^2=E{C}^2+D{C}^2\Rightarrow E{D}^2=8^2+6^2\Rightarrow E{D}^2=64+36=100\Rightarrow ED=10m$

Hence, the distance between their top = ED = 10 m.