Question

If the two vectors (240 m right + 150 m UPwere added the resultant would have a value closest to:

A) 90
B) 150
C) 240
D) 280
E) 390

Answer 1

The resultant of adding two perpendicular vectors, 240 m right and 150 m UP, is closest to 280 m, which is option D.

Step-by-step explanation:

If two vectors (240 m right + 150 m UP) are added, the resultant would have a value closest to 280. To calculate this, we use the Pythagorean theorem for the magnitude of the resultant vector, as the two vectors are perpendicular to each other.

The magnitude (resultant) is calculated as:

√((240 m)² + (150 m)²) = √(57600 m² + 22500 m²) = √(80100 m²) = 283 m (approx).

Therefore, the closest value to the resultant magnitude is option D) 280.