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Pythagoras Theorem
Sin, Cos, or Tan?
Value of a Ratio (3 Decimal Places)
Find the Angle (Nearest Whole Degree)
Solve the Trig Ratio
100

The hypotenuse of a triangle is 5 and one of the sides is 2. What is the length of the other side to one decimal place?

4.6

100

You are provided a reference angle and its opposite side length. We want to find the adjacent side length. What trig ratio do we use?

Tangent

100

tan 36° = ___________

0.727

100

cos Θ  = 0.652

49° 

100

Right Angle Triangle with Angle = 30° and Opposite side length of 6.8 m. What is the length of the hypotenuse to one decimal place?

13.6 m

200

The length of two sides of a right triangle are 8. What is the measure of the hypotenuse to one decimal place?

11.3

200

You are provided a reference angle and hypotenuse. We want to find the opposite side length. What trig ratio do we use?

Sine

200

sin 82° = __________

0.990

200

tan Θ  = 1.234

51° 

200

Right Angle Triangle with Angle = 52° and Adjacent side length of 9 cm. What is the length of the hypotenuse to one decimal place?

14.6 cm

300

The hypotenuse of a triangle measures 7.1 and one side measures 4. What is the length of the other side to one decimal place?

5.9

300

You are provided a hypotenuse length and an adjacent side length to an unknown reference angle. If we want to find the reference angle, what trig ratio do we use?

Cosine

300

tan 52° = __________

1.280

300

cos Θ = 0.4567

63° 

300

Right Angle Triangle with Adjacent side length of 9 cm and Opposite side length of 6.5 cm. What is the size of the Reference Angle to the nearest degree?

36° 

400

The hypotenuse of a triangle measures 14.5 cm and one side measures 6 cm. What is the length of the other side to one decimal place?

13.2 cm

400

You are provided a reference angle and its adjacent side length. We want to find the length of the hypotenuse. What trig ratio do we use?

Cosine

400

cos 32° = __________

0.848

400

sin Θ = 0.2356

14° 

500

The two sides of a right triangle are 13 km and 16 km. What is the length of the hypotenuse to one decimal place?

20.6 km

500

You are provided a hypotenuse length and an opposite side length to an unknown reference angle. If we want to find the reference angle, what trig ratio do we use?

Sine

500

sin 9° = __________

0.156

500

tan Θ = 3.652

75°