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To calculate the height of a tree, susie measures the angle of elevation from a point A to be 34 deg. she measures her distance to be 8 m from the base of the tree. How high is the tree to the neare
The medians of a right triangle that are drawn from the vertices of the acute angles have lengths of 2√3 and √73. Find the length of the hypotenuse.
A 1.5-kg copper block is given an initial speed of 4.0 m/s on a rough horizontal surface. If the block absorbs 85% of its initial kinetic energy as internal energy, calculate its increase in temperat
From a fixed point, a surveyor locates a pole at 215.6 ft due east and a bulding corner at 358.2 ft at 37.72 degrees north of east. What is the displacement of the building from the pole?
The surface water is at a temperature of 25°C, while the bottom of the pond is at 12°C. Find the rate at which energy is transferred by conduction from the surface to the bottom of the pon
Two cities have nearly the same longitude of 101 W. the latitude of the first city is 23 2', and the latitude of the second city is 36 50'. approximate the distance between the cities if the average
The diagonal of a rectangle is 340 millimeters, while the longer side is 277 millimeters. Find the shorter side of the rectangle and the angles the diagonal makes with the sides.
Using the capacitance C = 26 uF , calculate the current in the circuit 7.4 ms after the switch is closed. Assume that the capacitor is uncharged initially and that the emf of the battery is 9.0 V.
A bicycle with a 27-in diameter wheels has a chain ring with 52 teeth and a cog with 26 teeth. The cyclist is pedaling at 1 revolution per second. What is the velocity of the bicycle in mi/hr?
An isolated quantity of an ideal gas at 296.1 K has a volume of 16.09 L at a pressure of 1.51 atm. What is the pressure of this gas sample when the volume is halved and the absolute temperature is mul
It operates while immersed in a damping fluid, selected so that the oscillation amplitude will decrease to 1.00% of its initial value in 7.13s. Find the required damping constant for the system.
Resolve a force of 60lb into two components, one of which is 38lb and makes an angle of 45 degrees with the given force. Construct a triangle and use the law of sine and cosines.
A light truck with manual transmission has a circular brake drum with a diameter of d = 320 millimeters. Each brake pad, which presses against the drum, is s = 307 millimeters long. What central ang
The intensity at a location 26 m away from the sound source is 3.40 10-4 W/m2. What is the intensity at a spot that is 84 m away?
Question: A satellite photographs a path on the surface of the Earth that is 1800 miles wide. Find the central angle that intercepts an arc 1800 miles on the surface of the Earth. (radius 3950 miles
The sound intensity during a normal conversation is about 3.20 10-6 W/m2 at the listener's ear. Assume the sound strikes the surface of the ear perpendicularly. How much power is intercepted by t
The period and wavelength of a wave on this string are 3.82 10-3 s and 1.26 m, respectively. Find the linear density of the string.
Points A and B are on the same horizontal line with the foot of a hill and the angles of depression of these points from the top of the hill are 30.2 and 22.5, respectively. If the distance between
A particle of mass 1*10-5 kg has a negative charge of -10 C. What is the magnitude and direction of the magnetic field acting upon it?
A 1.11-µH inductor is connected in series with a variable capacitor in the tuning section of a short wave radio set. What capacitance tunes the circuit to the signal from a transmitter broa
A woman rides a bicycle for 1 hour and travels 15 kilometers. Find the angular velocity of the wheel if the radius is 30 centimeters. (Round your answer to the nearest hundredth.)
If we assume the earth's orbit around the sun to be circular, with a radius of 93 million mi, how many miles does the earth travel (around the sun) in 125 days?
A jellyfish is floating in a water filled aquarium 1.00 m behind a flat pane of glass 6.00 cm thick. Where is the image of the jellyfish located when the glass is so thin that it's thickness can be
A piece of nichrome wire is embedded into a 1-kg block of ice at -10 C. a current of 3.0 A and a voltage of 12 volts is maintained in the wire. How long will it take to separate the wire from the ic
A child sits on the outer edge of a 18 m radius merry-go-round. If the parent applies a tangential acceleration of 2.5 m/s2, how long will it take the child to achieve a velocity of 8.3 rad/s?