1) A ship leaves a port and sails for 2 hours on a course of 46°at 20 knots. Then the ship changes its course to 136° and sails for 4 hours at 15 knots. At that instant, what is the distance of the ship from the port? what is the bearing from the ship to the port? а. b.

Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

A: Solution: The objective is to find the height of the tree

Q: A truck with 22-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

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Q: A ship travels 55 km on a bearing 27° and then turns to travel on a bearing of 117° for 140km. Find…

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Q: A rocket is fired from the ground at some angle and travels in a straight path. When the rocket has…

A:

Q: A truck with 40-in.-diameter wheels is traveling at 60 mi/h. Find the angular speed of the wheels in…

A:

Q: In terms of the cosine of a positive acute angle, what is the expression for cos(19pie/18)?

A: Cos 19π/18                     = cos 19*180/18                    = cos 190° cos190° = -0.98481cos…

Q: 3. A 28 ft-long ladder leaning against a wall makes an angle of 70° with the ground Determine the…

A: Length of ladder = 28 ft Angle made by ladder on ground=70 degree Vertical height h=?

Q: A truck with 38 inch diameter wheels is traveling at 55 mi/h  Find the angular speed of the wheels…

A: Given the diameter of the truck wheel is 38 inch and it is travelling at 55 mi/h.

Q: 1. A 12-m high post casts a 19-meter shadow. Find the angle of elevation to the sun.

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Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

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Q: A surveyor leaves her camp and drives 43km on a bearing of 032 degrees. She then drives 28km on a…

A:

Q: 4. A man whose eye is 1.5 m. above his sole stands on a 48.5 m. high building. The angle of…

A: The height of the man is 1.5 m and he is standing on a building whose height is 48.5 m. So, the…

Q: 6. A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies…

A: Solving for part b of the question as asked: Given that: Pilot flies at bearing of 160 deg for 30…

Q: The angular elevation of a tower CD at a place A due south of it is 60°; and at a place B due west…

A:

Q: An object is traveling around a circle with a radius of 10 m. If in 50 seconds a central angle of…

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Q: Use the law of sines to find the measure of the indicated angle

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Q: ship is sailing east and sight as partially submerged rock at a bearing of 32 degrees 12 minutes.…

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Q: A truck with 54-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the…

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Q: a boat sails on a bearing of 66 degrees for 126miles and then turns and sails 210 miles on a bearing…

A: Draw the figure:

Q: 4. A tree on a hillside casts a shadow 215 feet down the hillL. If the angle of inclination of the…

A:

Q: 3. Find the height of a tree if the angle of elevation of its top changes from 20° to 40° as the…

A:

Q: Use the law of sines to show that no triangle exists for which A = 60 degree, a = 12 inches,and b =…

A: Given: A=60° , a=12 and b=42

Q: The angle of elevation from an observer to the top of achurch is 0.3 radian, while the angle of…

A: Firstly Change radian to degree       0.3 radian =17.1887°0.4 radian =22.9183° According to…

Q: What is the reference angle associated with cos 240o ?

A: Answer is- -1/2 Explanation is given below....

Q: 3. How far from the door must a ramp begin in order to rise three feet with an 8° angle of…

A: Given that - the door must a ramp begin in order to rise three feet with an 8° angle of elevation.

Q: A truck with 42-in.-diameter wheels is traveling at 60 mi/h. Find the angular speed of the wheels in…

A:

Q: The area of the sector of a circle with radius 10 inches formed by a central angle of 2.7 radians is…

A: Our Aim is to determine the area of the sector of a circle with radius10 inches formed by a central…

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: 12. At a certain time of day your shadow is 6 feet long. What would be your angle of elevation to…

A:

Q: A car with 16-inch-radius wheels is moving with a speed of 50 miles per hour. Find the angular speed…

A: Given: A car with 16-inch-radius wheels is moving with a speed of 50 miles per hour.

Q: What is the reference angle of Theta if Theta = -382.1 degrees?

A:

Q: 2. Sketch a diagram of any angle in standard position terminating in quadrant II, that has the point…

A: topic - cartesian plane

Q: The terminal side of angle θ in standard position lands in quadrant IV. If cos(θ)=12/13, find…

A: The terminal side of an angle θ in standard position lands in quadrant IV. cosθ = 1213

Q: An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following…

A:

Q: Question 6 of 11 B Jaime decides to build an accessibility ramp to help students reach the top of a…

A: We use trigonometry rule to calculate an angle

Q: A ship leaves port on a bearing of 28 degrees and travels 8.2 km.  The ship then turns due east and…

A: To find distance between the ship from port and its bearing from port.Let B be the port and A is the…

Q: A wheel is rotating 5 radians per second, and the wheel has a 71 inch diameter. What is the speed of…

A:

Q: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed…

A: Given query is to find the distance between the hikers.

Q: A water main is to be constructed with a 12.5​% grade in the north direction and a 10​% grade in the…

A: Now, objective is to find  the angle theta required in  water main for the turn from the north to…

Q: 4. Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top.…

A: Given:

Q: 3. A kite is 100m above the ground. If there are 200m of string out, what is the angle (in radians)…

A:

Q: A 75-ft tall masthead of a tugboat is located 45 ft. away from the bow. If the top of the masthead…

A:

Q: A truck with 24-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

A: number of revolution = speedcircumference angular speed = (no. of revolutions )×2π

Q: An object is traveling around a circle with a radius of 8 feet.If in 40 seconds a central angle of…

A: Angular speed , ω =Angle Time  = θT Linear speed, v = ω.r ; where 'r' is radius and 'ω'  is Angular…

Q: Two airplanes leave an airport., and the angle between their flight paths is 40 degrees. An hour…

A: Given query is to find the distance between the airplane after 1 hour.

Q: A truck with 26-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

A: We know that 63360 inches = 1 mile.60 min = 1 hourGiven45 mi/h = 45/60 miles/min = 0.75…

Q: What is the angular speed in radians per second of a large flywheel that rotates through an angle of…

A: In 2 seconds it rotates 200 degrees So in 1 second it will rotate (200/2)=100 degree So the angular…

Q: A boat is traveling on a bearing of 270°.In what direction was it traveling?

A: The angle measure starts at the positive y-axis (North) Then we have to take 270°. We try to draw it…