The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
Answer:
Therefore the volume of the gas is 32 cubic feet.
Step-by-step explanation:
Given that,
The volume of a gas varies directly with its temperature and inversely with the pressure.
V= Volume of the gas at constant mass
T= Temperature at constant mass
P= pressure at constant mass
.
Given that,
At constant mass, the volume of a certain gas is 15 cubic feet and a pressure of 40 pound per square inch at a temperature 300 k.
=15 cubic feet,
=40 pound per square inch and
= 300 K
,
=20 pound per square inch and
= 320k
.
Plugging all values
cubic feet
Therefore the volume of the gas is 32 cubic feet.