Question

Maaz is standing 10m away from a tree. the distance of his eyes from his feet is 1.8m. given that the distance from his eyes to the top of the tree is 14m, find the height of the tree

Answer 1

Using similar triangles, we can find the height of the tree. Solving a proportion gives us the height as 4.5m.

Step-by-step explanation:

We can use similar triangles to find the height of the tree. Let's call the height of the tree 'h'.

From the given information, the distance from Maaz's eyes to the top of the tree is 14m, and the distance from Maaz's eyes to the ground is 1.8m (1.8m is the height of his eyes from his feet).

Using the similar triangles formed by Maaz, the tree, and the ground, we can set up the following proportion:

(h - 1.8m)/(h) = (14m)/(10m)

Solving this proportion will give us the height of the tree, 'h'.

h - 1.8m = (14m/10m) * h

h - 1.8m = 1.4h

0.4h = 1.8m

h = 1.8m / 0.4

h = 4.5m

Therefore, the height of the tree is 4.5m.