Question

Person is 1.3 meters tall and stands 7 meters in front of a tree and casts a shadow 1.8 meters long. how tall is the tree

Answer 1

6.36m.

Step-by-step explanation:

the height of the tree.

Answer 2

One of the best approaches to address similar triangle problems is to illustrate the problem. Below is an image of how a person is standing from the tree with ΔABC ~ ΔDEC, CE ~ BC, and DE ~ AB.

Mathematically, we have


`(CE)/(BC) = (DE)/(AB)`

and working on the equation,


`(1.8)/((7 + 1.8)) = (1.3)/(AB)`

`(1.8)/(8.8) = (1.3)/(AB)`

`AB = ((1.3)(8.8))/(1.8)`

`AB = 6.36`

Thus, the height of the tree is 6.36m.

Answer: 6.36 m