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matthewsorrow02
27.07.2019 •
Mathematics
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?
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Ответ:
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°
Ответ:
Step-by-step explanation:
1000 Ohms
R = 1000
V = 9
I = V / R
I = 9 / 1000
I = 0.009
500000 Ohms
V = 9
I = V/R
R = 500000
I = 9 / 500000
I = 0.000018