A 50-newton box is placed on an inclined plane that makes a 30° angle with the horizontal. Calculate the component of gravitatio
nal force that acts down the inclined plane. A. 25 N B. 37 N C. 43 N D. 56 N
2 answers:
Weight of the box = 50 Newtons
In the diagram attached,
The gravitational force is broken into two components.
The component of the gravitational force that acts along the inclined plane is 50 SinФ.
Ф = 30°
Sin 30° = 0.5
Gravitational force down the inclined plane = 50 Sin 30°
= 50 × 0.5
Gravitational force down the inclined plane = 25 Newtons or 25 N
Hence, the option A is correct.
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Answer:
The boats are 934.65 feet apart
Explanation:
Given:
The angles of depression to the two boats are 42 degrees and 29 degrees
Height of the observation deck i = 1,353 feet
To Find:
How far apart are the boats (y )= ?
Solution:
<em><u>Step 1 : Finding the value of x(Refer the figure attached)</u></em>
We can use the tangent ratio to find the x value
x = 590.47 feet
<em><u>Step 2 : Finding the value of z (Refer the figure attached)</u></em>
z = 1525.12 feet
<em><u>Step 3 : Finding the value of y (Refer the figure attached</u></em>)
y = z -x
y = 1525.12 - 590.47
y = 934.65 feet
Thus the two boats are 934.65 feet apart
