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 .
We have been given that Susan has a 12-inch board for constructing a wooden chair.The directions say to use a board that is 29 centimeters long. We are asked to determine if Susan's board is long enough to cut or not.
We know that 1 inch is equal to 2.54 cm.
Let us convert 12 inches into cm by multiplying 12 by 2.54.
Since 12 inches is equal to 30.48 centimeters and 30.48 is greater than 29, therefore, Susan's board in long enough to cut.