4. A plane leaves an airport heading S50'E at 450 mph. After 2 hr., the plane makes a 90'clockwise turn to a new bearing of S40'W. If the plane travels this new course for 0.5 hr. a) Find the plane's distance from the airport to the nearest mile b) To the nearest degree, find the bearing from the airport to the plane

Q: A plane flies 1.5 hours at 130 mph on a bearing of 20°. It then turns and flies 4.1 hours at the…

A:

Q: Step by step

A: We have to obtain the altitude of a mountain peak.The altitude of the nearby mountain is given as…

Q: A projectile is fired with muzzle speed 150 m/s and angle of elevation 45ofrom a position 10 m above…

A:

Q: A 15 feet support wire is attached to a telephone pole at a point 9.5 feet below the top of the pole…

A:

Q: . The windshield wiper of a car is 24 inches long. How many inches will the tip of the wiper trace…

A: Given that the length of the wiper of a car = 24 inchesThe circumference of the circle of radius 24…

Q: A baseball is thrown from the stands 32 ft above the field at an angle of 30 up from the…

A:

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: 3. The wheels of a car have radius 1 ft. and are rotating at 600 rpm. Find the speed of the car in…

A:

Q: A loading ramp is 21 m long with a height of 7 m. What is the angle of incline that the ramp forms…

A: The length of the loading ramp, l = 21 m and the height of the ramp is h = 7 m To evaluate : The…

Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

Q: A rock is thrown downward from the top of a building, 168 ft high, at an angle of 60 ◦ with the…

A: Use the displacement formula, x=v0(cos θ)t and substitute v0 with 80 and θ with 60° to get x=40t.…

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: A rider in a road bike race had an average linear speed of 40.756km/hr. The wheel of his bicyle had…

A: Given:

Q: Two ships leave port at the same time. One travels at 5 km/h on a bearing of 046°. The other travels…

A: for first ship speed = 5 km/h angle α = 46°   for second ship speed = 9 km/h angle β = 127°   time =…

Q: An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Form the right triangle and use trigonometric ratios.

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: We have to find the angle and speed of the plane.

Q: 1. A car travelling 60 mph has a wheel with diameter of 20 inches. What is the angular speed of the…

A:

Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the…

A:

Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: A team of forestry graduate students want to determine the height of a giant sequoia tree using…

A: We have to find height of tree.

Q: A kite is flying at an angle of elevation of about 40°. All 80 m of stringhave been let out.…

A:

Q: A 200ft tower is anchored on a hill by two guys wires. The angle of elevation of the hill is 8…

A:

Q: Find cose, where 0 is the angle shown. Give an exact value, not a decimal approximation.

A:

Q: A plane with an airspeed of 190 mph is flying on a bearing of 120 degrees.  A wind is blowing from…

A: To calculate the (absolute) velocity vector , given the relative velocity vector

Q: A ship heads due north from point A for 40 km to point B, and then heads on a bearing of 100° to…

A:

Q: The SS Bigfoot leaves Yeti Bay on a course of N37 degrees west at a speed of 50 miles per hour.…

A:

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. A 30°…

A:

Q: A telephone pole of height "h" is installed vertically on the side of a hill that makes an angle of…

A:

Q: A racecar is driven around a circular track at a constant speed of 180 miles per hour. If the…

A: To find the angular speed, first, evaluate the radius of the circular path. Since the diameter (d)…

Q: The minute hand on a clock makes one complete revolution every hour, moving clockwise. (a) What is…

A: subpart a In 60 minute minute hand will cover 2πin 1 minute it will cover velocity of minute hand…

Q: Determine the length of the arc (in radian measure) and the measure of the angle (in radian and…

A: Given: Length starts from point (1,0) to positive x-axis, negative x-axis, positive y-axis, and…

Q: A wheel 3ft in diameter, rolls up an incline of 15 degree. When the point of contact of the wheel…

A: Given: The angle between the radius and the vertical is the same as the angle of the incline h =…

Q: A 21m tall house has an angular size of 2.2 degrees when viewed from a distance. How far away is the…

A: Recall the following. Angular size=sizedistance

Q: A pulley of radius 25 cm rotates 17 times in 32 sec. Find the angular speed and linear velocity of…

A: Given, Radius (r) = 25 cm Number of revolution = 17 times per 32 second

Q: A large truck traveling on a level surface has a wheel with a diameter of 2 feet. If the wheel makes…

A: Given diameter = 2 feet Rotation = 270° Distance travelled = circumference around 270°

Q: Refer to the triangle and compute the quantities indicated. (Enter your answers in exact form.)

A:

Q: An airplane is headed on a bearing of 123° at an airspeed of 226 km per hour. A 49 km per hour wind…

A: We have been given that an airplane is headed on a bearing of 123° at an airspeed of 226 km per…

Q: 8. To temporarily support a wall during construction, the workers allow the wall to tilt towards…

A:

Q: Find the lengths of both circular arcs of the unit circle connecting the point (-V2/2, -V2/2) and…

A:

Q: A batter hits a ball toward second base at 76 ft/sec and runs toward first base at a rate of 24…

A:

Q: 4. Suppose a tow truck drags a broken car along a road. The towing cable makes an angle of 30° with…

A: suppose a tow truck drags car along a road the towing cable makes an angle 30° with the road and the…

Q: player is

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away 4. Trom…

A: We have to find how fast is the angle between the top of the ladder and the wall changing when the…

Q: Suppose that you are headed toward a plateau 27.8 meters high. If the angle of elevation to the top…

A: given that height of plateau 27.8 m and angle of elevation to the top of plateau is 26.5 degree.…

Q: Find

A: Given that : Diameter = 30 feet Radius = 15 feet Length = 2 feet Inclination = 45 degrees

Q: . Jim is looking at the roof of a new house from the front.  He notices that the roof is triangular…

A: Given problem:- Jim is looking at the roof of a new house from the front. He notices that the roof…

Q: A pedestrian overpass is being built with a 12.5°angle. If the overpass is 17.5 ft. high find the…

A: Using Sinx we get the length of ramp.

Q: A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The…

A:

Q: A ball is thrown at an angle of 45o to the ground. If the ball lands 90 m away, what was the initial…

A:

Q: An airplane is heading north at an airspeed of 800 km/h * r , but there is a wind blowing from the…

A: