A submarine dives 96 m at an angle of 24° below the horizontal. What are the two components?
x = m
y = m
To find the components of the submarine's dive, we can use trigonometry. The horizontal component can be found using the cosine function, and the vertical component can be found using the sine function.
First, let's find the horizontal component (x):
x = 96 * cos(24°)
x ≈ 96 * 0.9135
x ≈ 87.696
Therefore, the horizontal component of the submarine's dive is approximately 87.696 meters.
Next, let's find the vertical component (y):
y = 96 * sin(24°)
y ≈ 96 * 0.4040
y ≈ 38.784
Therefore, the vertical component of the submarine's dive is approximately 38.784 meters.
So, the two components of the submarine's dive are:
x = 87.696 meters
y = 38.784 meters