Question

A 23 m 75 cm high water tank casts a shadow 20 m long Find at the same time:
(1) the length of the shadow cast by a tree 9 m 50 cm high
(ii) the height of the tree if the length of the shadow is 12 m.​

Answer 1

Step-by-step explanation:

Given,

Height of water tank =23 m 75 cm=23

4

3

m=

4

95

m

Length of its shadow = 20 m

Let height of tree be x and its shadow is 12 m

So,

4

95

:x::20:12

⇒

4

95

x=

12

20

⇒4x=

20

95×12

⇒x=

4

57

m

⇒x=14 m 25 cm

∴ Height of the tree is 14 m 25 cm