Question

one end of a cable is attached to the top of a 60-foot pole. the other end is attached to the ground at a distance of 25 feet from the base of the pole. how long is the cable in feet? 25 60 65 85

Explanation:

Step1: Identify the triangle type

The pole, ground, and cable form a right triangle. The pole (60 ft) and ground distance (25 ft) are the legs, cable is the hypotenuse.

Step2: Apply Pythagorean theorem

Pythagorean theorem: \( c = \sqrt{a^2 + b^2} \), where \( a = 60 \), \( b = 25 \).
Calculate \( a^2 = 60^2 = 3600 \), \( b^2 = 25^2 = 625 \).
Sum: \( 3600 + 625 = 4225 \).
Square root: \( \sqrt{4225} = 65 \).

Answer:

65