Question

2. Find the distance across the lake. C 30 feet E 25 feet 15 feet AZ B

Answer 1

To find the distance across the lake, first consider that triangles ADE and ABC are congruent. Then, you have the relation between the following proportions of the two triangles:

`(x)/(ED)=(AC)/(AE)`

where:

AC = AE + EC = 25 ft + 30 ft = 55 ft

ED = 15 ft

AE = 25 ft

solve the equation for x and replace the values of the segments:

`\begin{gathered} x=(ED)((AC)/(AE)) \\ x=(15ft)((55ft)/(25ft))=33ft \end{gathered}`

x represents the distance across the lake.

Hence, the distance is 33 ft