Aship is 15 miles due west of lighthouse a on the island of hawaii. if lighthouse b is 6.2 miles due south of lighthouse a, what is the bearing to the nearest tenth of a degree of the ship from lighthouse b? to the nearest tenth of a mile, how far is the ship from lighthouse b?

67.5°

16.2 miles

Step-by-step explanation:

According to data, ship is at 15 miles due west to light house A.

Light house B is 6.2 miles due south of Light house A

Now,

                Ship15 milesLight house A

                                                            ║

                                                            ║ 6.2 miles

                                                            ║  

                                                            Light house B

You can see that, if you draw an imaginary straight line from light house B to ship, it is forming a right angle triangle,

so, according to Pythagoras theorem,

(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2

We need to find hypotenuse,

Base = 6.2, Perpendicular = 15

So, H^2 = (15)^2 + (6.2)^2

H^2 = 225 + 38.44

H = 16.23 miles

now for rounding of to nearest 10th place

H = 16.2 miles

Now for angle of Ship from light house is

Cos^Ф = Base/Hypotenuse

Base = 6.2

Hypotenuse = 16.2

Cos^Ф = 6.2/16.2

Ф = 67.49°

After rounding off to the nearest tenth place

Ф = 67.5°

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|