The biggest stuffed animal in the world is a snake 420 m long, constructed by No

Question

The biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown in the figure below, forming two straight sides of a 104° angle, with one side 235 m long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake to its head, and Olaf starts from the same place at the same time but runs along the snake.

(a) If both children run steadily at 9.0 km/h, Inge reaches the head of the snake how much earlier than Olaf?
_____s

(b) If Inge runs the race again at a constant speed of 9.0 km/h, at what constant speed must Olaf run to reach the end of the snake at the same time as Inge?
_____km/h

Explanation / Answer

using the law of cosines finding the shortest side od trianglr formd by the  two straight sides of a 104° angle

a = 235 m

b = (420-235) = 185 m

c = 332.393 m

Speed of children = 2.5 m/s

Ing (time) = 332.393/ 2.5 = 132.95 seconds

Olaf time = 420 / 2.5 = 168 seconds

Ing reaches 35.05 seconds earlier

(b)

Ing (time) = 332.393/ 2.5 = 132.95 seconds

olaf , 132.95 = 420/speed

speed = 3.15 m/s

= 12.6 km/h

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