Question

I just need to check if the answer I got is right cause I’m not sure. (7th grade)

Answer 1

Answer:

48 ft.

Step-by-step explanation:

Since triangles ABC and DEC are similar (you can prove this quite easily), then we know the ratio of the sides are equal. This is a property of similar triangles. So we take the ratio of the sides CE and DE and the ratios of the sidesBC and AB.

We get:

$\frac{x}{40} = \frac{60}{50} \Rightarrow x = \frac{6}{5}\times 40 = 48.$

So x is 48 ft.