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Applying Trigonometric Ratios to All Triangles: Mastery Test

Ivy is running errands for her mother. She bikes along straight paths to the supermarket, the bank, and then back home.

- Ivy starts from her house at point A.
- First, she goes to the supermarket at point B.
- Next, she goes to the bank at point C.
- Finally, she heads back to her house at point A.

Find the distance between Ivy's house and the supermarket and the distance between the supermarket and the bank. Each distance is rounded to the nearest meter.

Options:
- 2,717 m
- 3,635 m
- 1,014 m
- 854 m
- 2,288 m



Answer :

GinnyAnswer
Let's solve the problem step-by-step:

1. Understanding the Distance Between Ivy's House and the Supermarket:
- Ivy starts from her house at point A and bikes to the supermarket at point B.
- The distance between Ivy's house (point A) and the supermarket (point B) is \( 2,717 \) meters.

2. Understanding the Distance Between the Supermarket and the Bank:
- After reaching the supermarket at point B, Ivy bikes to the bank at point C.
- The distance between the supermarket (point B) and the bank (point C) is \( 3,635 \) meters.

Therefore, the distances are as follows:
- Distance between Ivy's house and the supermarket: \( 2,717 \) meters.
- Distance between the supermarket and the bank: \( 3,635 \) meters.

These distances are rounded to the nearest meter and are the required solutions.

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