Question

6. Andre is making a map of a state park. He finds a small bog, and he wants to measure the distance acrossthe widest part. He first marks the points A, C, and E. Andre measures the distances shown on the image.Andre also marks point B along AC and point D along AE, such that BD is parallel to CE. What is thewidthof the bog at the widest point?

Answer 1

Answer

CE = 108 ft.

Explanation

The concept of similar triangles will be used to solve this.

The ratio of two corresponding sides for similar triangles is always constant.

AD is corresponding to AE

BD is corresponding to CE

(AD/AE) = (BD/CE)

AD = 14 ft

AE = 126 ft

BD = 12ft

CE = The width of the bog at the widest point = ?

(AD/AE) = (BD/CE)

(14/126) = (12/CE)

CE = (12)(126)/14

CE = 108 ft

Hope this Helps!!!