Question

A surveyor located at point S, wants to determine the distance across a lake AB . The surveyor establishes points c and d so that triangle SCD is similar to triangle SAB.

based on the picture :

1. determine the distance of AB across the lake.

2. Explain how you determined your answer .

Lake 5.2 m 66 m D 6 m

Answer 1

Solution's Given that Lake B 5.2 m 66 m & Giren that ASCD WASAB Then their corsesponding side in ratio. CD AB SD SB 6 5.2 AB SD + BD 5.2 AB 6. 6+66 5.2 6 AB 72 AB 5.2 x 72 6 - 5.2X12 = 62.4 m. Herre Distance of AB across the lake = 62.4m. 3 By using the condition of similarities af triangle in which Apply their consesponding side in the ratio-