jazzy asked:
West and the Yacht named Terner is sailing due North. Two hrs. later, the 2 yachts are 17km apart. At that time, the port’s radar system shows that the High Seas is 17km apart. At that time, the port’s radar system shows that the Terner is 7km farther from the dock it sailed from than is the Salma. How far is the Terner from the dock?
West and the Yacht named Terner is sailing due North. Two hrs. later, the 2 yachts are 17km apart. At that time, the port’s radar system shows that the High Seas is 17km apart. At that time, the port’s radar system shows that the Terner is 7km farther from the dock it sailed from than is the Salma. How far is the Terner from the dock?
a. 8km
b. 15. km
c. 17 km
d 10 km
Xavier
Let x = distance of Salma from dock
= 0
= 0
x + 7 = distance of Terner from dock
x² + (x + 7)² = 17²
x² + x² + 14x + 49 = 289
2x² + 14x - 240 = 0
x² + 7x - 120 = 0
(x + 15)(x -
(x + 15) = 0
x = -15 discard, negative
(x -
x = 8 km, distance of Salma from dock
8 + 7 = 15 km, distance of Terner from dock
Answer b. 15 km
Comment by Jerome J — January 16, 2010 @ 7:26 pm