Right Triangles
Using a Calculator
Trigonometric Ratios
100

A right triangle labeled ABC has a hypotenuse of 700 ft, and angle A is 36 degrees. Find all the sides only using the trigonometric ratios. You do not need to find all the angles.

411.4 and 566.3

100

Find X:

sin(x)=0.99984

89

100

What is the definition of sine?

Opposite over Hypotenuse 

200

Draw a right triangle, and label each side a, b, or c (remember, c is special). Label the bottom angle 30 degrees, and label c as 25. Find a and b using the trigonometric ratios. Do NOT use the Pythagorean theorem.

12.5 and 21.65

200

Find X:

cos(5)=X

0.996

200

What is the definition of Tangent?

Opposite over Adjacent 

300

A right triangle labeled ABC has a hypotenuse of 9 ft and angle A is 37 degrees. Solve the right triangle.

5.42, 53 degees, and 7.18

300

Find X:

tan(x)=1.9626

63

300

What is the definition of Cosine?

Adjacent over Hypotenuse 

400

A right triangle labeled ABC has a hypotenuse of 5cm and leg BC has a length of 2.5 cm. Solve the right triangle.

5.42, 7.18, and 53 degrees 


400

Find X:

cos(x)=0.99619

5

400

What trigonometric ratio is defined by Opposite over Hypotenuse?


Sine

500


A right triangle labeled ABC has a hypotenuse of 700 ft, and angle A is 36 degrees. Find all the sides only using the trigonometric ratios. You do not need to find all the angles.


411.4 and 566.3

500

Find X:

sin(45)=X

0.71

500

What trigonometric ratio is defined by opposite over adjacent?  

Tangent