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Fittoniya [83]
3 years ago
10

1. Find the component form of the vector that represents the velocity of an airplane descending at a speed of 100 mph at an angl

e of 45° below the horizontal. (Leave answers in exact form)
Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

<70.71, -70.71>

Step-by-step explanation:

The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:

horizontal component = module * cos(angle)

horizontal component = 100 * cos(-45)

horizontal component = 70.71

vertical component = module * sin(angle)

vertical component = 100 * sin(-45)

vertical component = -70.71

So the vector in the component form is <70.71, -70.71>

The negative sign of the vertical component means its direction is downwards.

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