Question

hows a map of Olivia's trip to a coffee shop. She gets on her bike at Loomis and then rides south 0.9mi to Broadway. She turns east onto Broadway, rides 0.8 mi to where Broadway turns, and then continues another 1.4mi to the shop.

Answer 1

The student's question about Olivia's trip involves calculating the total distance and understanding the directions. This can be compared to other scenarios like delivering flyers, which require similar mathematical skills to solve.

Step-by-step explanation:

The question involves Olivia's bike trip to the coffee shop, requiring understanding of directions and distances to calculate the total distance traveled. Similarly, in the delivery flyers scenario with Jill, one must calculate the total distance traveled and time spent. Both scenarios involve practical applications of distance, direction, and time, which relate to mathematical concepts. The simple map from a school to a shop using a path shown by a dashed line illustrates concepts of mapping and distance, while StoryMap Stops also involve an understanding of mapping, distances, and location descriptions.

Answer 2

1.9 mi, 350.7°

Step-by-step explanation:

If continued another 1.2 mi*

solving for x

0 + 0.8 + 1.2(cos30) = 1.83923048 --> 1.84

solving for y

-0.9 + 0 + 1.2(sin30) = -0.3

^negative because it is going downward

a) solving for magnitude

`√((1.84)^2+(-0.3)^2) = √(3.4756) = 1.86429611... = 1.9 mi`

b) solving for direction of total displacement

`tan^-1 = ((x)/(y) ) \\tan^-1 = ((-0.3)/(1.84)) = -0.16 \\`

∘, measured counterclockwise from the eastward direction

360 - 0.16 = 359.84°

*replace any of the needed values in the equation, such as 1.2 mi to 1.4 mi