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A vector has a magnitude of 44.9 and a direction of 50.4 degrees. What is the y-component of the vector?

(A) 28.78
(B) 34.56
(C) 29.12
(D) 39.12

User Stepashka
by
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1 Answer

1 vote

Final answer:

The y-component of a vector with a magnitude of 44.9 and a direction of 50.4 degrees is calculated using the sine function and is approximately 34.56, corresponding to option (B).

Step-by-step explanation:

The question pertains to determining the y-component of a vector with a given magnitude and direction angle. To find the y-component of a vector, we can use the sine function, since the y-component corresponds to the opposite side of the angle in a right triangle formed by the vector. Therefore, we calculate the y-component (Ay) as:

Ay = A sin(θ),

where A is the magnitude of the vector and θ is the direction angle. Plugging in the values given in the question:

Ay = 44.9 sin(50.4°).

Using a calculator, we get:

Ay ≈ 44.9 × 0.7716,

Ay ≈ 34.64.

Thus, the correct answer for the y-component of the vector is approximately 34.56, which corresponds to option (B).

User Itaydafna
by
8.0k points

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