Question

Janelle sketched the picture below showing distances that were measured

from trails around her cabin. She knows that AFPC - ANPW. Calculate
the length across the pond located next to the cabin.

NEED HELP ASAP thanks in advance, Check the picture

Answer 1

The answer is C.

Explanation:

In order to solve the problem, we have to prove that triangle FCP and triangle WNP are similar triangles.

The fraction of NP to PF is 19/60.8 or 5/16 when simplified.

The fraction of WP to PC is 28/89.6 or also 5/16 when simplified.

Finally, angle FPC and angle WPN are equal to each other since they are opposite angles.

Hence, it proves that triangles FCP and WNP are similar to each other using Side-Angle-Side.

Since these two triangles are similar, the fraction of WN to FC is also 5/16.

Hence, the length FC is 26 * 16/5 = 83.2