Regulations stipulate that the ratio of the lengths of sides AB : BC must be 5 : 3. You measure the distance AB and find that it is 90 metres long. What must the length of BC be?

Respuesta :

Answer:

Therefore the length of BC must be 54 meters.

Step-by-step explanation:

Given:

The ratio of the lengths of sides AB : BC

[tex]\dfrac{AB}{BC}=\dfrac{5}{3}[/tex]

AB = 90 meter

To Find:

BC = ?

Solution:

[tex]\dfrac{AB}{BC}=\dfrac{5}{3}[/tex]  .................Given

Substituting the values we get

[tex]\dfrac{90}{BC}=\dfrac{5}{3}[/tex]

by Cross multiplying we get

[tex]BC=\dfrac{3\times 90}{5}=\dfrac{270}{5}=54\\\\\therefore BC = 54\ meter[/tex]

Therefore the length of BC must be 54 meters.