16. At a certain time a tree 6m high casts a shadow of length 8m at th

1.	16. At a certain time a tree 6m high casts a shadow of length 8m at the same time a pole casts a shadow of length 20 mfind the height of the poleS10g co that the remainders are in orooortion?.
Answer» Let the height of the pole be x. Then, 6 : 8 = x : 20 ⇒ 6 / 8 = x / 20 ⇒ 8x = 20 × 6 ⇒ 8x = 120 ⇒ x = 120 / 8 ⇒ x = 15 m Hence, Required height of the pole is 15 m

16. At a certain time a tree 6m high casts a shadow of length 8m at the same time a pole casts a shadow of length 20 mfind the height of the poleS10g co that the remainders are in orooortion?.

Answer»

Let the height of the pole be x.

Then,

6 : 8 = x : 20

⇒ 6 / 8 = x / 20

⇒ 8x = 20 × 6

⇒ 8x = 120

⇒ x = 120 / 8 ⇒ x = 15 m

Hence, Required height of the pole is 15 m