Using the Laws Related to Solving Oblique Triangles
Not what you're looking for?
Solving oblique triangles:
The trigonometry of oblique triangles is not as simple as that of right triangles, but there are two theorems of geometry that give useful laws of trigonometry. These are called the "law of cosines" and the "law of sines." There are other "laws" that used to be used, but since the common use of calculators, these two laws are enough. Apply these laws to the following questions.
Problems:
1. AB is a line 652 feet long on one bank of a stream, and C is a point on the opposite bank. A = 53 degrees 18', and B = 48 degrees 36'. Find the width of the stream from C to AB.
2. In a triangle ABC, a = 700 feet, B = 73 degrees 48', and C = 37 degrees 21'. If M is the middle point of BC find the length of AM, and the angles BAM and MAC.
3. Three circles of radii 3, 4, and 5 touch each other externally. Find the angles of the triangle formed by joining their centers.
Purchase this Solution
Solution Summary
Finding lengths of sides of a triangle using sine and cosine are provided.
Solution Preview
Please see the attached file.
Thank you for using Brainmass.
Problems
1. AB is a line 652 feet long on one bank of a stream, and C is a point on the opposite bank. A = 53° 18', and B = 48° 36'. Find the width of the stream from C to AB.
C
A D B
Mathematically, we need to find CD, the distance from C to D.
Firstly, we find angle C = 180-( A+B)
C = 180-(53° 18'+ 48° 36')
C = 78° 6' degrees
We will use the law of sines:
sin A
________________________________________a = sin B
________________________________________b = sin C
________________________________________c
Now we use the ...
Education
- BSc, University of Bucharest
- MSc, Ovidius
- MSc, Stony Brook
- PhD (IP), Stony Brook
Recent Feedback
- "Thank you "
- "Thank You Chris this draft really helped me understand correlation."
- "Thanks for the prompt return. Going into the last meeting tonight before submission. "
- "Thank you for your promptness and great work. This will serve as a great guideline to assist with the completion of our project."
- "Thanks for the product. It is an excellent guideline for the group. "
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.