Question

A survey or is conducting measures to see how wide a river is between points A and B. Using her surveying instrument, she creates two similar right triangles. AABC - AEDC, CE = 34 meters, DE=16 meters, and AC=85 meters. What is the distance between A and B? A C D B E O A) 24 m OB) 36 m OC) 40 m OD) 48 m

Answer 1

We have that the ratio is

`(AC)/(CE)=(85)/(34)`

So to find the AB we need to do

`\begin{gathered} AB\text{ = }DE\cdot\text{ }(85)/(34) \\ =\text{ }16\cdot\text{ }(84)/(34) \\ =\text{ }39,529411765 \end{gathered}`

The answer is AB = 40 m, option C.