Question

A wire 31ft long is stretched from the top of a flagpole to the ground at a point of a flagpole to the ground at a point 15ft from the base of the pole how high is the flagpole

Answer 1

Answer:the height of the flagpole is 27.12 ft

Step-by-step explanation:

The wire makes an angle with the ground and forms a right angle triangle with the flag pole. The length of the wire represents the hypotenuse of the right angle triangle. The height of the flag pole and the ground distance from the wire represents the adjacent and opposite sides respectively.

To determine the height of the flagpole, x we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

31² = x² + 15²

x² = 961 - 225 = 736

x = √736. = 27.12 ft