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A sailboat on a lake sails 90. meters north and then sails 60. meters due east. Compared to its starting position, the new position of the sailboat is
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A sailboat on a lake sails 90 meters north and then sails 60 meters due east Compared to its starting position the new position of the sailboat is show your wor class=

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Answer:

The new position of the sailboat is 108.2 m, at N 53.3° E

Explanation:

From the image uploaded, R is the resultant displacement and it is calculated as;

R² = 90² + 60² (Pythagoras theorem)

R² = 11700

R = √11700

R = 108.2 m

The direction of the boat is given by θ in the image uploaded;

tanθ = opp/adj

tanθ = 90 / 60

tanθ = 1.5

θ = tan⁻¹(1.5)

θ = 53.3°

θ = N 53.3° E

Therefore, the new position of the sailboat is 108.2 m, at N 53.3° E

Ver imagen onyebuchinnaji