Answer to Question #140237 in Algebra for Livhuwani

Question

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

Answer 1

As per the given condition in the question,

Let the height of the triangle is x

We know for the similar triangle,

$\Rightarrow \frac{x}{5m}=\frac{1.75m}{0.75}$

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

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