Question

An airplane is flying on a compass heading (bearing) of 325° at 410 mph. What is the component form of the vector of the airplane? (Round answer to the nearest tenth.)

a. 208.9
b. 249.0
c. -235.2
d. 335.9
d. - 235.2

Answer 1

The component form of the vector of the airplane is c. -235.2 mph.

Step-by-step explanation:

To find the component form of the vector of the airplane, we need to break it down into its horizontal and vertical components.

Given that the airplane is flying on a compass heading of 325° at a speed of 410 mph, the horizontal component can be found using the formula:

Horizontal component = Speed * cos(angle)

Plugging in the values, we get:

Horizontal component = 410 mph * cos(325°) = -235.2 mph

Therefore, the component form of the vector of the airplane is approximately -235.2 mph. Hence, the correct answer is option (c) -235.2.