26.8k views
2 votes
A vector is 253 m long and

points in a 55.8 degree
direction.
Find the y-component of the
vector.

2 Answers

5 votes
Answer: y=209

Explanation: sin O = y/vector
y= vector (sine)
y=253m (sin55.8°)
y= 209.25m or =209m
User TomH
by
3.7k points
1 vote

Answer:

y = 209m

Step-by-step explanation:

given:

vector is composed of x and y components

θ = 55.8 degrees

vector = 253m

y- component = ?

in a right angle triangle

the opposite side is the length of the y, and the adjacent is the x.

thus, sin θ =
(y)/(vector) ,

y = vector (sinθ)

y = 253m (sin55.8°)

y = 209.25m or ≅209m