# Determine 8202

An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane.

### Correct answer:

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

**arithmetic**- absolute value
- subtraction
**planimetrics**- right triangle
- triangle
- The Law of Cosines
- The Law of Sines
**goniometry and trigonometry**- tangent

#### Units of physical quantities:

#### Grade of the word problem:

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