Question

To help support a flagpole, a 50-foot-long tether is tied to the pole at a point 40 feet above the

Answer 1

Answer:

$30ft$

Step-by-step explanation:

The flagpole, the tether , and the ground distance to the anchor from the base of the pole, forms a right triangle.

The hypotenuse is the 50-foot-long tether.

The height at which the tether is tied above the ground , and the distance from the base of the pole to the anchor, forms the legs of the right triangle.

Let the distance from the base to the anchor be x.

Then from Pythagoras Theorem,

${x}^{2} + {40}^{2} = {50}^{2}$

${x}^{2}= {50}^{2} - {40}^{2}$

${x}^{2} = 2500 - 1600$

${x}^{2}= 900$

Take square root:

${x}= \sqrt{900}$

$x = 30ft$