Posted by Dolores on Wednesday, January 26, 2011 at 7:38pm.
Two of the sides of a triangular lot have lengths of 90 feet and 80 feet. If the angle opposite the 80foot side is 59°, what is the length of the third side of the lot to the nearest tenth of a foot?

Geometry  Reiny, Wednesday, January 26, 2011 at 8:15pm
Looks like the ambiguous case of the sine law.
let the angle opposite the 90 be Ø
sinØ/90 = sin 59/80
sinØ =.9643
Ø = 74.6 or 105.4°
so the third angle is
46.4° or 15.6°
now use the sine law for each case to find the two different possibilities for the third side.
There are two triangles possible with your given information, try sketching both using my answers.

Geometry  Emily, Wednesday, February 4, 2015 at 9:41pm
Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles are each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter. Show your work.
Answer This Question
Related Questions
 prealgebra  A building lot in a city is shaped as a 30° 60° 90° triangle. The...
 math  A building lot in a city is shaped as a 30° 60° 90° triangle. The side ...
 PreAlgebra  Q: A building lot in a city is shaped as a 30° 60° 90° triangle...
 CSC  A vacant city lot is being turned into a neighborhood garden. The ...
 Geometry  The sides of a triangular lot are represented by x, 2x, and 3x + 2. ...
 geometry  a triangle has two sides that have lengths of 14 feet and 22 feet. ...
 math(advanced algebra&trigonometry)  the playground at a daycare center has a ...
 diff calculus  1.) triangular corner lot has perpendicular sides of lengths 120...
 Math  Okay .. i have a trig question for some floor plans that im trying to do...
 triganometry  A landscape architect is designing a triangular garden to fit in ...
More Related Questions