# geometry

posted by .

A field is in the form of a triangle pictured below. Angle A is 85± and angle B is 78±. The distance between B and C is 269 feet. Find, to the nearest foot, the distance between A and B.

• geometry -

angle C is 180-85-78 = 17

c/sinC = a/sinA
c/sin17 = 269/sin85
c=79

## Similar Questions

The Vietnam Veterans Memorial in Washington, D.C., is made up of two walls, each 246.75 feet long, that meet at an angle of 125.2°. Find, to the nearest foot, the distance between the ends of the walls that do not meet.
2. ### Math

The four bases of a baseball diamond form a square 90 feet on a side. The shortstop,S, is in a position that is 50 feet from second bases and forms a 15 degree angle with the base path as shown. Find the distance between the shortstop …
3. ### Calculus Ab

A 26 foot step ladder is leaned up against a 30 foot building to reach a window near the top. The ladder is being pushed toward the building in a horizontal direction of 2 feet per second. 1. Find each related rate when the ladder …

Can you please check these answers thanks 1. A ladder 14 feet long is leaning against a house. The foot of the ladder is 4.8 feet from the house. Find the angle of elevation of the ladder and the height it reaches on the house. Answer: …
5. ### trig

A tunnel for a new highway is to be cut through a mountain that is 260 feet high. At a distance of 200 feet from the base of the mountain, the angle of elevation is 36 degrees. From a distance of 150 feet on the other side of the mountain, …
6. ### trig

A tunnel for a new highway is to be cut through a mountain that is 260 feet high. At a distance of 200 feet from the base of the mountain, the angle of elevation is 36 degrees. From a distance of 150 feet on the other side of the mountain, …
7. ### Math

The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on the observation deck, 1150 ft above the ground, wants to determine the distance between two landmarks on the ground below. She observes …
8. ### trig

A pole is braced by two wires that extended from the top of the pole to the ground. The lengths of the wires are 16 feet and 18 feet and the measure of the angle between the wires is 110 degrees. Find, to the nearest foot, the distance …
9. ### Trigonometry

Mountain officials want to build a new ski lift from B to C as shown in the figure below. The distance from A to C is 1480 feet. They measure angle DAC to be 32 degrees and angle DBC to be 18 degrees. What is the distance A from to …
10. ### Geometry

A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given. a. Find BC, the distance from Tower 2 to the plane, to the nearest …

More Similar Questions