A 200 foot wire is attached from the top of a tower to a point on the ground 40 feet from the base of the tower. Find the height
of the tower to the nearest foot. A) 158 feet B) 160 feet C) 196 feet D) 384 feet
2 answers:
Answer:
The height of the tower is 196 feet .
Option (C) is correct .
Step-by-step explanation:
By using the pythagoream theorem
Hypotenuse² = Perpendicular² + Base²
As given
A 200 foot wire is attached from the top of a tower to a point on the ground 40 feet from the base of the tower.
As the diagram is given below .
Hypotenuse= AB = 200 feet
Base = CB = 40 feet
Perpendicular = AC
Put all the value in the above
200² = 40² + AC²
40000 = 1600 + AC²
AC² = 40000 - 1600
AC² = 38400
AC = √38400
AC = 196 feet (Approx)
Therefore the height of the tower is 196 feet .
Option (C) is correct .
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<h2>Answer:</h2>
Option C
<h2>Step-by-step explanation:</h2>When you rotate a point you could rotate it in Clockwise direction because that's how the hand of a clock move, or rotate it in Counterclockwise direction that's the opposite rotation. In math, counterclockwise is defined as being a positive rotation while clockwise is defined as being a negative rotation. Rotating a whole shape means we're rotating every point in the shape.
On the coordinate plane, consider the point (x,y). To rotate this point by 90° around the origin in counterclockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:
By applying this rule to every point we have:
The figure below shows the original shape in green while the rotated shape is the one in red. As you can see, this figure matches the option C.