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Each making an angle of 55degrees with the ground. The total tower was 85ft. tall and the wires were each attached 7 ft. below the top of the tower. How long was each wire?
A plane takes off at an angle of 6 degrees traveling at the rate of 205 feet per second. If it continues on this flight path at the same speed, how many minutes will it take to reach an altitude
A video store the components of w = 3i + 2j represent the prices to rent the one day and three day videos respectively find v*w and describe what the answer means in practical terms.
A boat can go 11 knots in still water has heading N25W. The water is moving 6 knots S45W in the steady wind of 22 knots N12W. Find the speed of the boat relative to groundspeed.
You notice the plane is at an angle of elevation 18 degrees. One minute later, it is observed at an angle of elevation of 63 degrees. Determine the altitude of the plane(in miles).
At any t>_0 the position of the stone above the water level (in Feet) is given by f(t)=-16t^2+144, where t is the number of seconds elapsed. After how many seconds will the stone hit the water?
If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 162 ft2, how many feet of fencing should be purchased?
A ladder 22 feet long leans against the side of a house. Suppose the angle of elevation is 70 degrees. Find the horizontal distance from the foot of the ladder to the wall.
A ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle of elevation of the ladder is 80 degrees.
A wheel has a radius of 4.35 m. How far (path length) does a point on the circumference travel if the wheel is rotated through an angle of 26.7?
There are 14 standbys who hope to get seats on a flight, but only 6 seats are available on the plane. How many different ways can the 6 people be selected?
The string of the kite is taut and makes an angle of 60 degree with the horizontal. Approximate the height of the kite above level ground if 500 feet of string is payed out.
The first gear in a single-stage gear train has 42 teeth and an angular velocity of 3 revolutions per second. The second gear has 7 teeth.
A swimmer orients himself perpendicular to the parallel banks of a river. If the swimmer's velocity is 2m/s and the velocity of the current is 0.5m/s, what will be his resultant velocity?
The altitude h(in ft) of a jet that goes into a dive and then again turns upward is given by h(t)=16t^3-240t^2+10000. What is the altitude of the jet when it turns up out of the dive?
Construct a sinusoid equation with the given amplitude and period that goes through the given point. Amplitude 3, period pie (3.14), point (0,0).
One rope pulls a barge directly east with a force of 82 N and another rope pulls the barge directly north with a force of 57 N. Find the magnitude of the resultant force acting on the barge.
A child rides a horse on a merry-go-round 12 feet from the center. The merry-go-round rotates at 1/2 revolution per minute. Find the child's linear velocity in radians per minute.
If the aircraft maintains an average speed of 220 miles per hour and if the error in direction is discovered after 15 minutes, through what angle should the pilot turn to head toward Louisville?
Assuming that the period of the system is 1/2 second, determine a trigonometric model that gives the position of the weight at time t seconds.
The tips of the ski poles are stuck into the ground 17 cm apart and the handles meet 110 cm above the ground. What angle do the ski poles form where they touch? Draw a diagram of this problem.
A coast guard station received a distress call from a fishing boat 12 km away. How far is the rescue boat from the fishing boat?
The distance along the ground form the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport?
The angle of depression from the bird to the feet of an observer standing away fromt he lamppost is 35 deg. The horizontal distance from the bird to the observer is 25 meters. How tall is the l
As it leans against a building, an 8 meter ladder makes an angle of 62 deg with the ground. How far is the bottom of the ladder from the base of the building to the nearest tenth of a meter?