This problem gives a right triangle with one angle (34.5 degrees) and one side (12.7 inches) known. It then shows how to calculate the remaining side (A = 7.19 inches) using sine, another side (B = 10.5 inches) using cosine, and the remaining angle (B = 55.5 degrees) using subtraction from 180 degrees. The key steps are using trigonometric functions of sine and cosine to solve for missing sides when an angle and one side are known in a right triangle.
Angles and their measure, Solving Right Triangle and Trigonometric Ratiosmfobeidat
Angle Definition, Sign of an Angle Measure, Types of angles, Supplementary Angles, Complementary Angles Degree and Radiant, decimal notation , degree-Minute-second, Solving Right Triangle, Wrapping Function, Circular Point, Trigonometric Ratios.
Angles and their measure, Solving Right Triangle and Trigonometric Ratiosmfobeidat
Angle Definition, Sign of an Angle Measure, Types of angles, Supplementary Angles, Complementary Angles Degree and Radiant, decimal notation , degree-Minute-second, Solving Right Triangle, Wrapping Function, Circular Point, Trigonometric Ratios.
Solving a right triangle when given an angle group 1 sam,john,molly,shmash
1. * Solving a Right
Triangle When
Given an Angle and
a Side and Molly
Group 1
Sam, John, Ashleigh,
2. B
c
12.7 in a
A C
b
This is the given problem. Solve for angle B.
Also solve for side A and B.
3. B
c
12.7 in a A=7.19 inches
A C
b
Solving Side A:
Sin A = a/c
Sin 34˚30’ = a/12.7
a = 12.7 sin 34˚30’ : Multiply by 12.7 and rewrite
a = 12.7 sin 34.5˚ : Convert to decimal degrees
a = 12.7 (0.56640624)
a = 7.19 inches
4. B
c
12.7 in a
A C
b
B = 10.5 inches
Solving Side B:
Cos A = b/c
Cos 34˚30’ = b/12.7
b = 12.7 cos 34˚30’ : Multiply by 12.7 and rewrite
b= 10.5 inches
5. B
c
12.7 in a
A C
b
Solving Angle B:
Angle A is 34.5˚
You take 180-90-34.5
B= 55.5˚
6. If you have a different angle and side, you use the same method but must determine
whether you need to use SIN, COS, or TAN.