Answer:
The distance between the wires on the ground ≈ 27 meters
Step-by-step explanation:
To determine:
Find the distance between the wires on the ground.
Information Fetching and Solution Steps:
- A utility pole is supported by two wires, one on each side, going in the opposite direction.
- The two wires form a 75-degree angle at the utility pole.
- The wires are 12 meters and 16 meters long and secured to the ground
From the information,
- it is clear that the wires make the hypotenuses of two right triangles.
- It is important to determine the distance in each case of the opposite side to the angles.
Let the distance 1 be denoted as
Let the distance 2 be denoted as
So,
Finding
0.96 × 12 =
= 11.52 meter ∵ sin (75) = 0.96
Finding
0.96 × 16 =
= 15.36 meters
+ = 11.52 + 15.36
= 26.88 meters ≈ 27 meters
Therefore, the distance between the wires on the ground ≈ 27 meters
Keywords: distance, sin theta
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