Two ships left Port Hope on Lake Ontario at the same time. One travelled at 12 km/h on a course of 235 degrees. The other travelled at 15 km/h on a course of 105 degrees. How far apart were the ships after four hours to the nearest kilometre?

Q: A ship, Albatross, leaves a port on a bearing of N520E traveling at a speed of 42 km/h.  A second…

A:

Q: At noon, a ship leaves a harbor and sails south at 10 knots. Two hours later, a second ship leaves…

A: Given:

Q: The building is approximately feet tall.

A: Given : An aerial photography is taken of a building.  The photography is made when the angle of…

Q: The scale on a map is 2 inches to 6 miles. If the distance between two cities is 42 miles how far…

A:

Q: Two airplanes leave an airport at the same time, one going northwest (bearing 135°) at 414 mph and…

A: Given that two airplanes leave an airport at the same time, one going northwest (bearing 135°) at…

Q: A  32 foot tall tree casts a shadow that is 48 feet long.  How far away from the tree is a 6 foot…

A:

Q: If the circumference of each tire on a vehicle is approximately 88 in, how many miles will

A: The circumference of each tire is 88 in  So, 12000 revolutions amounts to, 12000×88 in = 1056000 in…

Q: The front wheel of a tricycle has a circumference of 56 inches, and the back wheels have a…

A: topic - lowest common multiple 56=2*2*2*7 24=2*2*2*3 LCM(56,24)=2*2*2*3*7=168

Q: The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches…

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Q: A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow.…

A:

Q: A pole that is 3 m tall casts a shadow that is 1.4 m long. At the same time, a nearby tower casts a…

A: We can answer the question as below.

Q: One of the acute angles in a right triangle has a measure of 35°. What is the measure of the other…

A:

Q: Ben and Susan are truck drivers who start at the same location. Ben drives 300 miles due west and…

A:

Q: A ship left shore and sailed 240 km east, turned due north, then sailed another 70 km. How many km…

A:

Q: The distance from home plate to the fence in dead center at the Oak Lawn Little League field is 280…

A: Given: The distance from home plate to the fence in dead center at the Oak Lawn Little League field…

Q: the circumference of a car wheel is about 65 inches. if the car wheel rotates once per second, how…

A:

Q: A 13-foot ladder is leaning against a​ building, with the base of the ladder 3 feet from the…

A:

Q: In the giraffe pen, one of the ramps leading up to the observation deck needs to be repaired. If…

A: If you like the solution then please give it a thumbs up... The Answer is:      Length of ramp (x )…

Q: You walk 100 yards due south, then 120 yards due west, and then 30 yards due north.  How far are you…

A: You walk 100 yards due south, then 120 yards due west, and then 30 yards due north. The diagrammatic…

Q: On a map, the coordinates for Phoenix are (– 12, – 16) and those for Miami are (6, 8), specified in…

A:

Q: If the Sun is 68 degrees above the horizon, find the length of the shadow cast by a building 83 ft…

A: Here we will find length of shadow,

Q: Joseph wants to know the height of the tree in his backyard. If Joseph is 5 ft. tall and has a…

A: given height of joseph=5 ft shadow of joseph=7 ft shadow of tree=14 ft

Q: One of the legs of a right triangle measures 1o cm and its hypotenuse measures 12 cm. Find the…

A: Hypotenuse of a right triangle, h = 12 cm One leg of right triangle, l1 = 10 cm To evaluate : The…

Q: In a balanced seesaw, the weight W varies inversely as the distance D from the fulcrum. If a weight…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A pilot flew for 210 miles at 21 degrees and then 147 miles at 162 degrees. How far was he from his…

A: Topic = Triangles

Q: 8 ft 30°

A: Given :/ Height of Ramp = 8 feet Slope of Ramp = 30° Let, The distance from Ramp from platform  = D…

Q: The screen on a 46-inch LCD television has an aspect ratio of 16 to 9. Find the length and width of…

A: We have to find length and width

Q: One of the legs of a right triangle measures 3 cm and its hypotenuse measures 4 cm. Find the measure…

A:

Q: If a 12 foot flagpole casts a shadow of 28 feet, how tall would be a building that casts a shadow of…

A: Given that 12 foot flagpole casts a shadow that is 28 feet long and a nearly building casts a shadow…

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A i

A:

Q: A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the…

A: width = 20 inch width/height = 16:9 20*9/16 = height 45/4 = height rectangle screen  diagonal = 202…

Q: rv3v

A: VII. Find the integral of∫15  r3v+1dvVIII. Find the integral of∫cos5x(-sin x)dx

Q: A 3-foot-tall stake in the ground casts a 1.2-foot-long shadow. At the same time, a tree casts a…

A:

Q: A 20m wire is cut into 2pieces with the ratio 2:3. If the two pieces are formed into 2 circ;es. What…

A:

Q: Two automobiles started at the same time from a point, but traveled inopposite directions. Their…

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Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: Person A drove 75 miles to the west and then drove 40 miles south. How far is person A from their…

A: We will find how far the person A is from the initial location as following.

Q: A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jace grabs the…

A:

Q: An airplane is heading due north with an air speed of 985 km/h. Ther blowing directly from the east,…

A: As per the given data lets draw a free body diagram

Q: A ladder is extended from a fire truck as shown in the diagram below. 30° 60 Truck 7 feet Ground To…

A:

Q: A building 50 ft high casts a 75 ft shadow. sarah cast a 6ft shadow. How tall is sarah in feet?

A: We will use the concept of similarity of two triangles and the fact that the sides of two similar…

Q: A group of campers measured the length of a shadow cast by a fire lookout tower as 48 ft. long. One…

A: A 6 ft tall camper casts a shadow of 8 ft.Let the shadow is x feet tall. It casts a shadow of 48 ft.

Q: If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 4°. How many spokes…

A:

Q: The actual distance between North Chicago and Waukegan is 4 mi. What is the distance between these…

A: Given : The distance between North Chicago and Waukegan is 4 mi. On the map 1 in represents 18 mi.

Q: One of the legs of a right triangle measures 3 cm and its hypotenuse measures 6 cm. Find the measure…

A: We find the measure of the other leg of the right triangle as following.

Q: Randy wants to attach a 17-foot string of lights to the top of the 15 foot mast of his sailboat. How…

A: Given that: Length of string, L=17ftHeight of the mast, H = 15ft

Q: 24. A 6-foot tall man is standing 8 feet from the base of a lamppost, as shown in the diagram.

A: Given that a 6-foot tall man is standing 8 feet from the base of a lamppost.Also, given that if the…

Q: A stake 96 feet high casts a shadow 21 feet long at the same time that a tree casts a shadow 34 feet…

A: A stake 96 feet high casts a shadow 21 feet long at the same time that a tree casts a shadow 34 feet…