PLEASE HELP!
A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction?

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

step-by-step explanation:

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )