In ΔQRS, the measure of ∠S=90°, SQ = 9.7 feet, and RS = 1.3 feet. Find the measure of ∠R to the nearest degree. (please answer a
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Answer:
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Step-by-step explanation:
In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.
For the x component you have:
(1)
T1: tension of the first cable = 1500N
T2: tension of the second cable = 800N
θ1: angle between the horizontal and the first cable
θ2: angle between the horizontal and the first cable
For the y component you have:
(2)
W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N
You can squared both equations (1) and (2) and the sum the two equations:
Then, you sum the equations:
(3)
Next, you use the following identity:
and you obtain in the equation (3):
With this values you can calculate the value of the another angle, by using the equation (1):
Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:
d: distance to the right side of the field
By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.