Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal pulley. The smaller weight hangs vertically, while the larger weight sits on a frictionless inclined ramp with angle θ . The rope exerts a tension force T on both weights along the direction of the rope. Find the angle measure for θ that is needed to keep the larger weight from sliding down the ramp. Round your answer to the nearest tenth of a degree.
Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal pulley. The smaller weight hangs vertically, while the larger weight sits on a frictionless inclined ramp with angle θ . The rope exerts a tension force T on both weights along the direction of the rope. Find the angle measure for θ that is needed to keep the larger weight from sliding down the ramp. Round your answer to the nearest tenth of a degree.
Solution Summary: The author calculates the angle measure for needed to keep the larger weight from sliding down the ramp by rounding their answer to the nearest tenth of a degree.
Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal pulley. The smaller weight hangs vertically, while the larger weight sits on a frictionless inclined ramp with angle
. The rope exerts a tension force
on both weights along the direction of the rope. Find the angle measure for
that is needed to keep the larger weight from sliding down the ramp. Round your answer to the nearest tenth of a degree.
A small boat leaves the dock at Camp DuNuthin and heads across the Nessie River at 23 miles per hour,
relative to the water, at a bearing of S76 W. The river is flowing due west at 9 miles per hour. What is the
boat's true speed and heading? Round the speed to the nearest mile per hour and express the heading as as
a bearing with the angle rounded to the nearest tenth of a degree.
Speed =
mph
Bearing:
You are riding the Ferris wheel at the fair. You look down at your friends in line for
the next ride at an angle of depression of 40°. The Ferris wheel is 192 feet tall. What
is the horizontal distance you need to walk to your friends when you get off the
Ferris wheel? Show your work and round your final answer to the nearest tenth of a
foot.
Find the bearing from O to A.
W
A 73
N
O
S
E
The bearing from O to A is
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