## How can you apply Law of Sines in real-life situation?

# How can you apply Law of Sines in real-life situation?

## How can you apply Law of Sines in real-life situation?

One real-life application of the sine rule is the sine bar, which is used to measure the angle of tilt in engineering. Other common examples include measuring distances in navigation and the measurement of the distance between two stars in astronomy.

**What is the issue with the Law of Sines?**

One potential problem to keep in mind using the law of sines is the possibility of two answers for an angle variable. This tends to appear when you are given two side values and an acute angle not between the two sides. These two triangles are an example of this problem.

**What is an example of Law of Sines?**

Example 1: Given two angles and a non-included side (AAS). Find the remaining angle and sides. The third angle of the triangle is. m∠C=180°−m∠A−m∠B=180°−30°−20°=130° By the Law of Sines, 45sin30°=bsin20°=csin130°

### How are the laws of sines and cosines applied to solve real life problems?

Many real-world applications involve oblique triangles, where the Sine and Cosine Laws can be used to find certain measurements. It is important to identify which tool is appropriate. The Cosine Law is used to find a side, given an angle between the other two sides, or to find an angle given all three sides.

**In what real world situation would the law of sines or cosines be helpful?**

The law of cosines is used in the real world by surveyors to find the missing side of a triangle, where the other two sides are known and the angle opposite the unknown side is known. The law of cosines is also used whenever a triangle is involved.

**Can the law of sines be used to solve triangulation type problems?**

The law of sines can be used to solve triangulation problems. If a given triangle can be solved (uniquely) using the law of cosines or sines, then that means that there is only one triangle with the given properties.

## When should you use law of sines?

The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle.

**How useful is the knowledge of the laws of sines and cosines?**

This law is mostly useful for finding an angle measure when given all side lengths. It’s also useful for finding a missing side when given the other sides and one angle measure.

**When can sine law be used?**