A ship is sailing on a bearing of 215° from port until it is 100 km due South of port. How far does it sail to the nearest km
7 answers
Can you send me answer for the first question please?
draw a diagram. You can easily see that if the distance is x km, then
x cos35° = 100
x cos35° = 100
Can send the answer quickly as soon as posible
Yea
A ship is sail on a bearing of 215° from Port until it is 100km due south of port. How far does it sail to the nearest km?
No answer
To solve the problem, we can draw a diagram:
```
Port
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/ 215°
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Ship
```
From the diagram, we can see that the ship has formed a right triangle with the vertical side measuring 100 km.
We can use trigonometry to find the length of the hypotenuse, which represents the distance traveled by the ship.
Using the cosine function, we have:
cos(215°) = adjacent / hypotenuse
cos(215°) = 100 / hypotenuse
hypotenuse = 100 / cos(215°)
hypotenuse ≈ 124 km
Therefore, the ship sails approximately 124 km to the nearest km.
```
Port
/
/
/
/
/ 215°
/
/
/
/
/
/
/
/
/
/
/
/
/
/
/
/
/
Ship
```
From the diagram, we can see that the ship has formed a right triangle with the vertical side measuring 100 km.
We can use trigonometry to find the length of the hypotenuse, which represents the distance traveled by the ship.
Using the cosine function, we have:
cos(215°) = adjacent / hypotenuse
cos(215°) = 100 / hypotenuse
hypotenuse = 100 / cos(215°)
hypotenuse ≈ 124 km
Therefore, the ship sails approximately 124 km to the nearest km.
1 answer