A construction crew wants to hoist a heavy
beam so that it is standing up straight. They
tie a rope to the beam, secure the base, and
pull the rope through a pulley to raise one
end of the beam from the ground. When
the beam makes an angle of 40 degrees with the
ground, the top of the beam is 8 ft above
the ground.
Th e construction site has some telephone
wires crossing it. Th e workers are
concerned that the beam may hit the wires.
When the beam makes an angle of 60 degrees with
the ground, the wires are 2 ft above the top
of the beam. Will the beam clear the wires
on its way to standing up straight?
<span>Math - Steve Thursday, April 16, 2015 at 6:22pmwe see that the length of the beam is
8/sin40 = 12.45 ft
At 60 degrees, the top is
12.45sin60 = 10.78 ft high
So, the wire is 12.78 ft up.
Since the beam is only 12.45 ft long, it will not touch the wires.</span>
Answer:
x = 4
Step-by-step explanation:
90 + 70 + 5x = 180
160 + 5x = 180
180 - 160 = 20
20 / 5 = 4
Answer:
10.60305932
Step-by-step explanation:
Answer:
From the plot, one can conclude that the points (x1, y1), (x3, y3) are maxima of the function. The points (x2, y2), (x4, y4) are minima of the function. Both, these points are called extrema of the function.
2x+4-4=xg-4
2x÷2=xg-4/2
x=xg-4/2
