Question #140237

Musa places a mirror on the ground, 5 m from the base of three. He then walks backwards until he can see the top of the tree in the mirror. He is now standing 0.75m from the mirror. Sam's eye level is 1.75 m high. Label the diagram. Find the height of the tree

Expert's answer

As per the given condition in the question,



Let the height of the triangle is x

We know for the similar triangle,

x5m=1.75m0.75\Rightarrow \frac{x}{5m}=\frac{1.75m}{0.75}


x=73×5m\Rightarrow x=\frac{7}{3}\times 5m


x=35m3\Rightarrow x =\frac{35m}{3}


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