A telephone pole is installed so that 25 feet of the pole are above ground level. A stabilizing cable is anchored to the ground 44 inches from the base of the pole. The other end of the cable is attached to the pole at a point 20 feet above ground level. To the nearest inch, how many inches long is the stabilizing cable?

This problem can be solved using the Pythagorean Theorem.

Note: the height of the telephone pole is unnecessary information.

Convert the measurement in feet to inches.

The length from the base of the pole to the anchor point on the ground is inches. The distance from the base of the pole to the anchor point on the pole is inches.

These are the two legs of a right triangle. The length of the stabilizing cable is the hypotenuse of the right triangle.

The Pythagorean Theorem is:

In this formula, and are the legs and is the hypotenuse.

Plug in the known values.

Swap the sides of the equation.

Evaluate the powers.

Simplify using addition.

Take the square root of both sides.

Separate the solutions.

Length and distance cannot be negative, so remove the negative solution.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.