Used to solve an oblique triangle. Either the lengths of two sides and the measure of the included angle is known. The lengths of the three sides are known. States that c² = a² + b² − 2ab Cos C . c is the 3rd side and C is the angle opposite to it.
Answers to the Questions:
The angle of depression of the clown with respect to the ferriswheel is 37° and their distance is 18 m while its distance from the carousel is 22 m. If the the rides and the clown form a triangle, find the distance between the carousel and the ferriswheel.
Yes. By applying the Law of Cosine which states that c² = a² + b² − 2ab Cos C means that the square of the third side is equal to the sum of the square of the first and second side minus twice their product and Cosine the angle opposite to the third side.
Solutions:
Let: a = 22 m
b = 18 m
C = 37°
Find: c
c² = a² + b² − 2ab Cos C
c² = (22 m)² + (18 m)² − 2(22 m)(18 m) Cos 37°
c² = 484 m² + 324 m² - (792 m²)(Cos 37°)
c² = 808 m² - (792 m²)(.7986)
c² = 808 m² - 632.49 m²
c² = 175.51 m²
=
c = 13.25 m
Therefore, the distance between the carousel and the ferriswheel is 13.25 m.
Answers & Comments
Law of Cosines
Used to solve an oblique triangle. Either the lengths of two sides and the measure of the included angle is known. The lengths of the three sides are known. States that c² = a² + b² − 2ab Cos C . c is the 3rd side and C is the angle opposite to it.
Answers to the Questions:
Let: a = 22 m
b = 18 m
C = 37°
Find: c
c² = a² + b² − 2ab Cos C
c² = (22 m)² + (18 m)² − 2(22 m)(18 m) Cos 37°
c² = 484 m² + 324 m² - (792 m²)(Cos 37°)
c² = 808 m² - (792 m²)(.7986)
c² = 808 m² - 632.49 m²
c² = 175.51 m²
c = 13.25 m
Therefore, the distance between the carousel and the ferriswheel is 13.25 m.
What is the Law of Cosine: brainly.ph/question/16316123
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