
178 Chapter 4
you’ve got the right speakers
80m
85m
85m
Field B
The 60
o
speakers are spot on
We know that the sides of the field are longer than the base.
While this doesn’t allow us to say exactly what the apex angle
is—23º or 57º or something else—it does tell us that the apex
angle must be less than 60º. That means the 60º speakers
are ideal.
If apex angle is Sides and base Height and base
Almost 0º
Less than 60º
Exactly 60º
Between 60º and 90º
Exactly 90º
More than 90º
Almost 180º
Side ........................... base
Side ........................... base
Side ........................... base
Side ........................... base
Side ........................... base
Side ........................... base
Side ......................... 1/2 base
Height ......................... base
Height .........................1/2 base
Height .........................1/2 base
Height .........................1/2 base
Height .........................1/2 base
Height .........................1/2 base
Height ............................... 0
Greater than
Greater than
Equal to
Less than
Less than
Less than
Nearly equal to
Nearly equal to
Greater than
Greater than
Greater than
Equal to
Greater than
Less than
The side is longer
than the base...
…so the triangle is in
these rows.
Math geeks call this “approaching”—the
value gets real close to the thing it’s nearly
equal to, but never quite gets there.
We already know everything we need t ...