Respuesta :
D. 183.6 mi
For your question:
"A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,
x, from the starting location?"
Please see above for answer.
Let me know if you have any further questions.
The distance, x, from the starting location will be 183.6 miles.
What is distance?
Distance is a numerical representation of the distance between two objects or locations.
Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Let the ship start at point O and proceed for 60 miles in the 34 °S direction to point P. Then, after 150 kilometers Q.
From the obtained value, the angle P can be obtained;
∠P=180°-(45°+20°)
∠P=115°
From triangle,
OP=60 cm
PQ=150
∠P=115°
OQ=x
OQ²=OP²+PQ₂-2OP.PQ.COS∠P
x²=60²+150²-2(60)(150)COS(115°)
x²=3600+22500+7606.8
x²=33,706.8
x=√(33,706.8)
x=183.59
x=183.6 miles
Hence,the distance, x, from the starting location will be 183.6 miles.
To learn more about the distance, refer to the link;
https://brainly.com/question/26711747
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