If Peter is currently facing towards Skeleton Cove, how many degrees to his left should he turn before walking 673 paces to the treasure? Do not round during your calculations. Round your final answer to the nearest degree.

Angle = 59⁰

Step-by-step explanation:

First make  a sketch of the situation. This results in a triangle.

Now, since there are three sides, the law of cosines is applicable here. This is because we have three sides but unknown angles.

The law of cosines is as follows:

(BC)² = (AB)² + (AC) ² -2AB·AC·Cos A

Making Cos A the subject of the equation gives:

Cos (A) = [(AB)² + (AC)²- (BC)²]/[2AB·AC]

Cos A = [(673)² + (989)² - (861)²]/ (2×673×989)

Cos A = 689 729/ (1331194)

       A = Cos⁻¹ [689 729/ (1331194)]

          = 58.8⁰

          = 59⁰ (nearest degree)

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.