Question

To indirectly measure the distance across a lake, Nachelle makes use of a couple landmarks at points D and E. She measures CF, FD, and FG as marked. Find the distance across the lake (DE), rounding your answer to the nearest hundredth of a meter

Answer 1

Answer:

207.68 m

Step-by-step explanation:

From the diagram,

ΔDEC is similar to ΔFGC

Therefore,

(DE)/(FG) = (DC)/(FC).............. Equation 1

make line DE the subject of the equation

DE = [(DC)(FG)/(FC)]................ Equation 2

From the diagram,

Given: DC = 190 m, FG = 142.1 m, FC = 130 m

Substitute these values into equation 2

DE = (190×142.1/130)

DE = 207.68 m

Hence the distance across the lake is 207.68 m