Law of Sines
Law of Sines (ambiguous)
Law of Cosines
Area
Word Problems
100
Find side c of triangle ABC if A=54, B=72, a=33
What is 33
100
How many triangles are there if... A=65, a=54, b=48
What is 1 solution
100
Find A if B=55, a=22, c=34
What is 40 degrees
100

Find the area of the triangle with A=34, b=18, c=10

What is 50.3

100

From a point on the ground, the angle of elevation to the top of a tree is 24 degrees. From a point 34 feet closer the angle of elevation is 45 degrees. What is the height of the tree?

What is 27.3

200
Find side b of triangle ABC if B=80, C=73, & a=17
What is 36.9
200
How many solutions are there if... Z=134, z=33, x=38
What is 0 solutions
200
Find X if x=55, y=44, z=40
What is 82
200

Find the area of the triangle with x=34, y=21, z=48

What is 310.2

200

Find the missing sides of a triangle which has two angles of 48 and 88 and the side between them is 40.

What is 42.8 & 57.5

300

Find a in Triangle ABC if A=44, C=55, b=175

a= 123

300
How many solutions are there if... P=44, q=78, p=54
What is 0 solutions
300

Find a in triangle ABC if A=49, b=15, c=25

a=18.9

300

Find the area of a triangle with A=66, B=34, c=85 (hint: solve for a and round to the nearest tenth. Then find the area)

1872.7

300

Raleigh, Durham, and Chapel Hill are three Cities in NC that form what is known as the research triangle. It is about 18 miles from Raleigh to Durham, 23 miles from Raleigh to Chapel Hill and 8 miles from Chapel Hill to Durham. Find the area of the research triangle.

What is 62.8 square miles

400

Find y in triangle XYZ if z=65, Z=121, X=22.

y=45.6

400

Find the number of solutions and solve if any triangles exist... A=105, a=34, b=25

1 solution; B= 45, C=30, c=17.6

400

Solve for angle Z if x=80, y=90, and z=48

What is 32

400

Find the area if a=9, b=11, c=10

What is 42.4

400

If you are on a ship and travel in the ocean on a path that is 30 degrees north of east for 100 miles and then change course and travel due east for another 56 miles. At this time how far are you from your original position?

What is 111.9 miles

500

Find c in Triangle ABC if B=95, C=34, a=88

 c=63.3

500

Solve for all triangles if... A=44, a=28, c=34

2 solutions; Triangle 1: B=78, C=58, b=39.4 Triangle 2: B=14, C=122, b=9.8

500

Solve for triangle XYZ if y=78, z=54 and X=100

What is Y=49, Z=31, x=102.3

500

Use the area to find the altitude drawn from Angle A of triangle ABC if a=30, b=32, c=42

What is 31.9

500

You travel due north for 88 miles. You then change your course and travel on a course that is 22 degrees south of west for another 40 miles. At this time, how far are you from your original position?

What is 53.1

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