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
power yacht
Tags: Directions, Radar System, Sailing West, Sailing Yacht, Yachts
April 7th, 2009 |
Tags: Directions, Radar System, Sailing West, Sailing Yacht, Yachts
April 9th, 2009 at 8:24 pm
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