+5 Hi, One of my math questions is:
8) As Chloe and Ivan canoe across a lake, they notice a campsite ahead at an angle of 22 degrees to the left of their direction of paddling. After continuing to paddle in the same direction for 800 m, the campsite is behind them at an angle of 110 degrees to their direction of paddling. How far away is the campsite at the second sighting?
+14933 Hello Michael!
As Chloe and Ivan canoe across a lake, they notice a campsite ahead at an angle of 22 degrees to the left of their direction of paddling. After continuing to paddle in the same direction for 800 m, the campsite is behind them at an angle of 110 degrees to their direction of paddling. How far away is the campsite at the second sighting?
According to the law of sines behave
800m / sin (180 - 22 - (180 - 110))° = x / sin 22°
800m / sin (180 - 22 - 70)° = x / sin 22°
x = 800m * sin 22° / sin 88° = 299.868m
The campsite is 300m from Chloe and Ivan.
Greeting asinus :- )
!
+14933 Hello Michael!
As Chloe and Ivan canoe across a lake, they notice a campsite ahead at an angle of 22 degrees to the left of their direction of paddling. After continuing to paddle in the same direction for 800 m, the campsite is behind them at an angle of 110 degrees to their direction of paddling. How far away is the campsite at the second sighting?
According to the law of sines behave
800m / sin (180 - 22 - (180 - 110))° = x / sin 22°
800m / sin (180 - 22 - 70)° = x / sin 22°
x = 800m * sin 22° / sin 88° = 299.868m
The campsite is 300m from Chloe and Ivan.
Greeting asinus :- )
!
