Question

To indirectly measure the distance across a lake, Fawzia makes use of a couple landmarks at points U and V. She measures TX, XV, and WX as marked. Find the distance across the lake (UV), rounding your answer to the nearest hundredth of a meter.

Answer 1

Okay, here we have this:

Considering the provided figure and information, we are going to calculate the requested measure, so we obtain the following:

We can see that the two triangles are similar because they have the same angles, so from this we have:

TX/WX=TV/UV

175/119.6=(105+175)/UV

175/119.6=280/UV

UV*175/119.6=280

UV*175=280*119.6

UV=(280*119.6)/175

UV=191.36 m

Finally we obtain that the measure of UV is 191.36 meters.