Question

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

Answer: The pole is 8.75 m

Answer 2

Step-by-step explanation:

height of the vertical pole equal to 5.6

the height of the shadow of a vertical pole equal to 3.7 CM

X1 Y1 equal to X2 Y2

5.6/10.5=3.2/x

x=6m

ok

ok

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