A ship leaves the island of Guam and sails a distance 285 km at an angle 32.0 no

Question

A ship leaves the island of Guam and sails a distance 285 km at an angle 32.0 north of west.

Part A

In which direction must it now head so that its resultant displacement will be 100 km directly east of Guam? (Express your answer as an angle measured south of east)

SubmitMy AnswersGive Up

Part B

How far must it sail so that its resultant displacement will be 100 km directly east of Guam?

SubmitMy AnswersGive Up

A ship leaves the island of Guam and sails a distance 285 km at an angle 32.0 north of west.

Part A

In which direction must it now head so that its resultant displacement will be 100 km directly east of Guam? (Express your answer as an angle measured south of east)

=    south of east

SubmitMy AnswersGive Up

Part B

How far must it sail so that its resultant displacement will be 100 km directly east of Guam?

km

SubmitMy AnswersGive Up

Explanation / Answer

r1 = -285*cos32i + 285*sin32j

r2 = ?

total displacement r = 100i

r = r1 + r2

r2 = r - r1

r2 = 100i + 285*cos32i - 285*sin32j

r2 = 341.7 i - 151 j

part A

theta = tan^-1(-151/341.7) = 23.8 south of east

part B

r2 = sqrt(341.7^2+151^2) = 373.6 km <<<========ANSWER

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.