The two cones below are similar. What is the value of x? If necessary, round your answer to two decimal places.

The given cones are similar .Similar figures have sides in proportion.
Forming the proportion for similar sides in the two cones we have:
[tex]\frac{10}{3}.=\frac{3}{x}.[/tex]
This is of the form :[tex]\frac{a}{b} = \frac{c}{d}.[/tex]
We can cross multiply.
Cross multiplying we have:
10x=9
Dividing both sides by 10 we have
x=[tex]\frac{9}{10}.[/tex]
x=0.90.