Question

A vertical pole of 5.6 m height casts a shadow 3.2 m long. At the same time find (i) the
length of the shadow cast by another pole 10.5 m high (ii) the height of a pole which case
a shadow 5m long​

Answer 1

Answer:

(i) 6 m

(ii) 8.75 m

Step-by-step explanation:

Question (i)

Define x:

Let x be the length of the shadow

Solve x:

pole1/pole2 = shadow1/shadow2

5.6/10.5 = 3.2/x

5.6x = 10.5(3.2)

5.6x = 33.6

x = 6 m

Answer: The shadow is 6 m long

Question (ii):

Define x:

Let the height of the pole be x

Solve x:

Using the property of similar figures

pole1/pole2 = shadow1/shadow2

5.6/x = 3.2/5

3.2x = 5.6(5)

3.2x =28

x = 8.75 m