Solving for Sides
What's that Angle
Write that Trig Ratio
Missing Sides AND Angles
Nothing but Word Problems
100

Solve for side t in the triangle below. Show or explain your work. 

5

100

Solve for the missing angle in the triangle below. Show or explain your work, including what trig ratio you used. 

60 degrees 

100

Find sin of t in the triangle below. Leave your answer as a fraction. 

Sin = 33/65

100

In the triangle below, solve for side AC. Show or explain your work, including what trig ratio you used. 


4.6 

100

When a child flying a kite has let out 50 m of string, the string makes a 55 degree angle with ground. How high is the kite? (Show or explain your work). 

41 meters 

200

In the triangle below, solve for x. Explain or show your work, including the trig ratio you used. 


9.4 

200

In the triangle below, solve for the missing angle. Show or explain your work including what trig ratio you used. 


42 degrees 

200

Find cos of b and sin of a in the triangle below. Leave your answers as fractions. 


Cos b = 3/5

Sin a = 3/5

200

Solve for sides a and c in the triangle below. Show or explain your work. 


Side a = 3 

Side c = 4.2

200

A 75 foot zip line is attached to the top of a 50 foot building. If you are laying on the ground looking up, what is the angle of elevation from you to the top of the building? (Show or explain your work)

41.8 degrees 

300

In the triangle below, solve for x. Show or explain your work including what trig ratio you used. 


6.6 

300

In the triangle below, solve for the labeled angle. Show or explain your work. 

28.1 degrees 

300

Find sin of A and tan of B in the triangle below. 


Sin = a/c

Tan = b/a

300

Solve for all missing sides and angles in the triangle below. 


Angle C = 30 degrees 

AB = 10

BC = 17.3

300

A 24 foot ladder is leaning against a building. If the bottom of the ladder is 5 feet away from the base of the building, what angle is being created with the top of the ladder and the building? Show or explain your work. 

12 degrees. 

400

In the triangle below, solve for sides AB and BC. Show or explain your work.

AB = 28.3 

BC = 13.3

400

In the triangle below, solve for angles A and B. Show or explain your work including what trig ratio you used. 


Angle A = 36.9 

Angle B = 53.1

400

In the triangle below, find tan of B. Leave your answer as a fraction. 

Tan B = 3/5

400

In the triangle below, solve for all missing sides and angles. Show or explain your work 

Shorter Leg: 2.8 

Hypotenuse: 6.6 

Missing angle: 65 degrees 

400

An 8 foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. Attached to a stake in the ground, the guy wire makes an angle of 51º with the ground. How far from the foot of the stop sign is the stake, to the nearest tenth of a foot? (Show or explain your work)

5 ft 

500

A doctor is using a treadmill to assess the strength of a patient's heart. He sets the 48inch long treadmill to an incline of 10 degrees. How high is the end of the treadmill raised? (Show or explain your work)

8.3 inches 

500

Solve for angles x and y in the triangle below. Show or explain your work including what trig ratios you used. 


Angle y = 67.4

Angle x = 22.6

500

In the triangle below, what is sin (30) equal to as a fraction? 

Sin (30) = x/(2x)

or Sin (30) = 1/2

500

Solve for all missing sides and angles in the triangle below. 

Angle A = 18.4

Angle B = 71.6 

AB = 12.6 

500

A boat is spotted from a lighthouse that is 40 feet tall. If the angle of depression from the top of the lighthouse to the boat is 38 degrees, how far away is the boat from the base of the lighthouse? (Show or explain your work.) 

51.2 feet. 

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