1.) In a right triangle ABC, <B = 17° , b = 31 feet and <C is a right angle.
a.) REPRESENT this problem by drawing a diagram.
b.) SOLVE this triangle. COMMUNICATE by showing all of your work clearly.
2.) In an OBLIQUE triangle ABC, a = 4, b = 6, c = 8.5.
a.) REPRESENT this problem by drawing a diagram.
b.) SOLVE this triangle. COMMUNICATE by showing all of your work clearly.
3.) In an OBLIQUE triangle ABC, a = 6, b = 7, <A = 32°
a.) REPRESENT this problem by drawing a diagram.
b.) COMMUNICATE whether the given measurements produce one triangle, two triangles, or no triangle.
c.) SOLVE for the triangle(s).
4.) Two tracking stations are on the equator 145 miles apart. A weather balloon is located on a bearing of N39°E from the western station and on a bearing of N24°E from the eastern station. How far is the balloon from the western station? Round to the nearest mile.
a.) REPRESENT this situation by drawing and labeling a picture.
b.) Solve for how far the balloon is from the western station. Round to the nearest mile. COMMUNICATE by showing all of your work.
5.) Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 50 feet from point A and 68 feet from point B. The angle ACB is 48°. How far apart are points A and B?
a.) REPRESENT this situation by drawing and labeling a picture.
b.) Solve for the distance between points A & B. Round to the nearest foot. COMMUNICATE by showing all of your work.
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