I am having a hard time on this question. Can you please explain it to me? Please keep it simple so I can understand it. I have
1 answer:
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Answer:
Step-by-step explanation:
There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.
We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:
which simplifies to
and
so
so that's the missing side. Now we can easily determine that
Now we have everything we need to fill in the identity for sin2θ:
and multiply all of that together to get
The anchor of the guy wire is 12.06 meters away form base of electrical pole.
Further explanation:
The whole given scenario forms a right angle triangle. The pole is standing straight so it is the perpendicular while the guy wire goes from the top of pole to the anchor so it will be the hypotenuse. We have to finds the base.
Pythagoras theorem will be used.
Pythagoras theorem states that:
Given
Base=?
Perpendicular=12.4 m
Hypotenuse = 17.3 m
Putting the values
The anchor of the guy wire is 12.06 meters away form base of electrical pole.
Keywords: Pythagoras theorem, Hypotenuse
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