Question

Rohit’s father is a mathematician. One day he gave Rohit an activity to measure the height of building, Rohit accepted the challenge and placed a mirror on ground level to determine the height of building. He is standing at a certain distance so that he can see the top of the building reflected from mirror. Rohit eye level at 1.8 m above ground. The distance of Rohit from mirror and that of building from mirror are 1.5 m and 2.5 m respectively.

Answer 1

Given: height of Rohit = $1.8m$.

Distance between Rohit and mirror$=1.5m$, Distance between the mirror and building $=2.5m$.

To find: the height of the building.

Solution:

Assume that, h is the height of the building.

Observe that, clearly the two triangles formed are similar.

Therefore, the sides will be proportional.

Find the height of the building.

$\[\begin{array}{l}\frac{{2.5}}{{1.5}} = \frac{h}{{1.8}}\\ \Rightarrow h = \frac{{1.8 \times 2.5}}{{1.5}}\\ \Rightarrow h = 3m\end{array}\]$

Therefore, the height of the building is 3 m.

Answer 2

Answer:

Step-by-step explanation:

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