Question

What is the value of x?

Enter the answer as a decimal.
Please help. I will reward for correct answers.

Answer 1

x = 42.9 m

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