Question

two trees of different height are apart from each other at some distance toller tree is 5 time taller than shorter tree at certain times Shadow Of both tree meet at point at that time length of Shadow of tollar Tree is 8 m more than thrice the length of shorter tree find the height of tree and distance between them​

Answer 1

Answer:

The height of taller tree is 20 meters

The height of shorter tree is 4 meters

The distance between both the trees is 24 meters .

Step-by-step explanation:

Given as :

The taller tree is 5 times taller than shorter tree

Let The height of taller tree = T

Let The height of shorter tree = s

So, T = 5 s             ..........A

Again

The length of shadow of taller tree is 8 m more than thrice the length of shorter tree .

So, T = 3 s + 8        .........B

Solving eq A and B

3 s + 8 = 5 s

Or, 5 s - 3 s = 8

Or, 2 s = 8

∴   s = $\frac{8}{2}$

i.e s = 4

So, The height of shorter tree = s = 4 meters

Put the value of s into eq A

∵ T = 5 s

Or, T = 5 × 4

Or, T = 20 meters

So, The height of taller tree = T = 20 meters

The distance between both the trees = height of taller tree + height of shorter tree

i.e The distance between both the trees = 20 meters + 4 meters

Or, The distance between both the trees = 24 meters

Hence, The height of taller tree is 20 meters

The height of shorter tree is 4 meters

The distance between both the trees is 24 meters . Answer