179k views
1 vote
A hiker walks 20.51 m at 33.16 degrees. What is the Y component of his displacement?

User Nivedh
by
7.8k points

1 Answer

5 votes

Answer:

The y component of his displacement is 11.22 meters

Step-by-step explanation:

Components of the displacement

The displacement is a vector because it has a magnitude and a direction. Let's suppose a displacement has a magnitude r and a direction θ, measured with respect to the positive x-direction. The horizontal component of the displacement is calculated by:


x=r\cos\theta

The vertical component is calculated by:


y=r\sin\theta

The hiker has a displacement with magnitude r = 20.51 m at an angle of 33.16 degrees. Substituting in the above equation:


y=20.51\sin(33.16^\circ)


y=11.22\ m

The y component of his displacement is 11.22 meters

User MGH
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.