Law of Sines
Law of Sines (ambiguous)
Law of Cosines
Word Problems
100

Find side c of triangle ABC if m<A=54, m<B=72, a=33

What is 33

100

How many triangles are there if...

m<A=65°

, a=54, b=48

What is 1 solution

100

Find m<A if m<B=55, a=22, c=34

What is 40 degrees

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 feet 

200

Find side b of triangle ABC if m<B=80, m<C=73, & a=17

What is 36.9

200

How many triangles are possible if are there if...

m<Z=134°

 z=33, x=38

What is 0 solutions

200

Find m<X if x=55, y=44, z=40

What is 81.6

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 feet 

300

Solve triangle ABC if m<A=44, m<C=55, b=175

What is m<B=81, a= 123.1, c=145.2

300

How many triagnles are possible if... m<P=44, q=78, p=54

What is 0 solutions

300

Solve for triangle ABC if m<A=49, b=15, c=25

What is m<B=36.5, m<C=94.5, a=18.9

300

Two observers, Alice and Bob, are standing at different points on the ground and looking at a bird sitting on a tree. The angle of elevation from Alice to the bird is 20 degrees, and the angle of elevation from Bob to the bird is 30 degrees. Alice is standing 100 feet from the base of the tree, while Bob is standing at a different point. How far apart are Alice and Bob?

What is 163 feet 

400

Solve triangle XYZ if z=65, m<Z=121, m<X=22.

What is m<Y=37, x=28.4, y=45.6

400

Find the number of solutions and solve if any triangles exist...

m<A=105°

, a=34, b=25

What is

m<B= 45.5°, m<C=29.5°

 c=17.6

400

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

What is 31.7

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? Hint: Find the angle in between the two sides first! 

What is 151.1 miles

500

Solve ABC if m<B=95, m<C=34, a=88

What is m<A=51, b=112.8, c=63.3

500

Solve for all triangles if...

m<A=44°

, a=28, c=34

What is Triangle 1:

m<B=78°, m<C=58°

 b=39.4 Triangle 2:

m<B=14°, m<C=122°, 

b=9.8

500

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

What is m<Y=48.5, m<Z=31.5, x=102.3

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 81.9 miles