Answer: it turned 115.8°
Step-by-step explanation:
The triangle formed is shown in the attached photo. The angle turned by the ship in the north west direction is ange A. To determine angle A, we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
165² = 111² + 83² - 2(111 × 83)CosA
27225 = 12321 + 6889 - 2(9213)CosA
27225 = 19210 - 18426CosA
18426CosA = 19210 - 27225
18426CosA = - 8015
CosA = - 8015/18426
CosA = - 0.435
A = Cos^- 1(- 0.435)
A = 115.8° to the nearest tenth
Answer:
CD = 16.5
Step-by-step explanation:
To find the distance between two points, use this formula:
point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1
point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3
Substitute the information into the formula
Simplify inside each bracket
Square the numbers
Add inside the root
Enter into calculator
Rounded to the nearest tenth, the first decimal
The distance CD is 16.5.