Question

A guy wire 30 ft long supports an antenna at a point that is 24 ft above the base of the antenna.

How far in feet from the base of the antenna is the guy wire secured?

Answer 1

Use Pythagorean Theorem
c2 = a2 + b2
152 = a2 + 12
a2 = 152 - 122
=225 - 144 = 81
a = 9 ft
Distance from base of antenna = 9ft

Answer 2

The distance in feet from the base of antenna to where the wire is secured is 18 feets.

The distance from the base of the antenna to the wire can be calculated using pythagoras;

• base² = height² - hypotenus²

base² = 30² - 24²

base² = 900 - 576

base² = 324

base = 18

The distance is 18 feets.