State whether the statement are true (T) or false (F). If a tree 24

1.	State whether the statement are true (T) or false (F). If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.
Answer» True ∵Height of a tree = 24m Then its shadow = 15m With the similar condition, if a pole has a shadow of length = 6m Let the height of pole = x m Since, length and shadow vary directly. Then, 24/15 = x/6 ⇒ 15 × x = 24× 6 ⇒ x = (24 x 6)/15 ⇒ x = 9.6 m

State whether the statement are true (T) or false (F). If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.

Answer»

True

∵Height of a tree = 24m

Then its shadow = 15m

With the similar condition, if a pole has a shadow of length = 6m

Let the height of pole = x m

Since, length and shadow vary directly.

Then, 24/15 = x/6

⇒ 15 × x = 24× 6

⇒ x = (24 x 6)/15

⇒ x = 9.6 m