Question

What is the value of x?

Answer 1

Answer:

  x = 42.9 m

Step-by-step explanation:

Corresponding sides of similar triangles MAB and MNP are proportional. This means ...

  x/MP = MA/MN

However, we don't have a number for MA yet, so we need to find it.

  MA +AN = MN

  MA = MN - AN            subtract AN

  MA = 67.2 m - 32 m = 35.2 m

Now, we can use this to find x.

  x = MP · (MA/MN) = (81.9 m) · 35.2/67.2

  x = 42.9 m