Right Triangles
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
Find X:
sin(x)=0.99984
89
What is the definition of sine?
Opposite over Hypotenuse
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
Find X:
cos(5)=X
0.996
What is the definition of Tangent?
Opposite over Adjacent
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
Find X:
tan(x)=1.9626
63
What is the definition of Cosine?
Adjacent over Hypotenuse
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
Find X:
cos(x)=0.99619
5
What trigonometric ratio is defined by Opposite over Hypotenuse?
Sine
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
Find X:
sin(45)=X
0.71
What trigonometric ratio is defined by opposite over adjacent?
Tangent