04+Applications+of+Law+of+Sines

= __Applications of Law of Sines__ = By: Jess Holm, Kayleigh and Tricia

The Law of Sines is an equation relating the lengths and angles of a triangle. Applications of Law of Sines is when you use the law of sines to find out the comparison between distances and their angles. This law can be used in many real life situations such as, estimating angles of depression and distances. You can use the law of sines when given AAS, ASA, SSA.

The goals of this section are to find unknown values that pertain to their angles and side lengths through word problems.

Law of Sines:
One would use this formula to plug in values of angles (A) and sides (a) to find the answer.

= __Examples:__ =

1.) A man standing near a station antenna observes that the angle of elevation to the top of the antenna is 64 degrees. he then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is 46 degrees. Find the height of the antenna to the nearest foot.

2.) An attic room has a sloped ceiling that meets the floor on two sides of the room at angles of 58 degrees and 35 degrees. The two sides where the floor and ceiling meet are 20 feet apart. To the nearest inch, find the height of the room at the highest point.





3.) From a point on the ground, a person notices that a 110-foot antenna on the top of a hill subtends an angle of 1.5 degrees. if the angle of elevation to the bottom of the antenna is 25 degrees, find the height of the hill.



= __Helpful Websites:__ =

http://www.analyzemath.com/Geometry/sine_law_problems.html http://www.algebralab.org/Word/Word.aspx?file=Trigonometry_LawSines.xml http://home.windstream.net/okrebs/page93.html