Question

Can someone please help me is due soon!

Karl wants to find the width RQ of a river. He starts at point R, and walks perpendicular along the edge of the river 42 ft and marks point S. He then walks 28 ft further and marks point T. He turns 90° and walks until his location (point U), point S, and point Q are collinear. Suppose TU = 68 ft. What is the width of the river in feet?

Answer 1

Triangle STU is similar with Triangle SRQ.

Because of the similarity, you can set up a proportion:

`(UT)/(TS) = (QR)/(RS)`

And you've been given all of those values except QR. Substituting in the values from the paragraph, we have:

`(68)/(28) = (QR)/(42)`

Multiplying by 42, you'd get QR = 102.