Question

A car travels 30.25 kilometers due west and then drives 7.50 kilometers up a hill that inclines 15.0 degrees. What is the vertical displacement of the car?

A. 0.60 Kilometers
B. 1.94 Kilometers
C. 3.25 Kilometers
D. 4.35 Kilometers

Answer 1

b we use soh sin15.0=o/7.50=1.91

Answer 2

The correct answer to the question is : B) 1.94 Km.

Step-by-step explanation:

As per the question, the car travels 30.25 Km due west.

The car drives 7.50 km up a hill.

The angle of inclination of the hill with the ground is
`\theta=\ 15^(0)`.

We are asked to calculate the vertical displacement of the car.

Resolving 7.50 Km into horizontal and vertical components, we get-

(a)
`7.50cos\theta` which is the horizontal component.

(b)
`7.50 sin\theta` which is the vertical component.

The vertical displacement [ y ] is calculated as -

y =
`7.50sin\theta`

= 7.50sin15

= 1.9411.. m.

= 1.94 m.

Hence, the vertical displacement is 1.94 m.