Question

A stick 2 meters long is place vertically at POint B the top of the stick is in line with the top of the tree as seen from point a which is 3 meters from the stick and 30 meters from the tree how tall is the tree

Answer 1

Tall of the tree = 20 feet

Solution:

The image of the problem is attached below.

A stick is 2 m long placed vertically at point B.

Given, AE = 2 m, DA = 3m, BD = 30 m

AB = DB – DA

     = 30 m – 3 m

AB = 27 m

ΔACD and ΔAED are similar triangles.

If two triangles are similar then their corresponding sides are in proportional.

$\frac{AD}{DB} = \frac{AE}{BC}$

$\frac{3}{30} = \frac{2}{x}$

Do cross multiplication, we get

$3\times x = 2\times 30$

$3x= 60$

Divide by 3 on both sides of the expression, we get

x = 20

The tall of the tree is 20 feet.