# Two groves

Two groves A B are separated by a forest. Both are visible from the hunting grove C, which is connected to both by direct roads. What will be the length of the projected road from A to B if AC = 5004 m, BC = 2600 m, and angle ABC = 53° 45'?

## Correct answer:

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### You need to know the following knowledge to solve this word math problem:

**algebra**- quadratic equation
- expression of a variable from the formula
**planimetrics**- right triangle
- triangle
- The Law of Cosines
**goniometry and trigonometry**- cosine

### Units of physical quantities:

### Grade of the word problem:

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