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 80-foot 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

- geometry - a triangle has two sides that have lengths of 14 feet and 22 feet. ...
- 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 ...
- Pre-Algebra - Q: A building lot in a city is shaped as a 30° -60° -90° triangle...
- Geometry - The sides of a triangular lot are represented by x, 2x, and 3x + 2. ...
- Math - Okay .. i have a trig question for some floor plans that im trying to do...
- math(advanced algebra&trigonometry) - the playground at a daycare center has a ...
- geomantry - a carpentar is making a fence out of 1 foot sections. two sides must...
- geometry - if two sides of a triangle are 8 feet and 15 feet the length of the ...
- trigonometry ASAP! - wendell is setting concrete on a triangular patio. one side...