trigonometry problems involving bearings
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Saravanan S. answered • 08/29/16
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Two boats leave the port at the same time with one boat traveling north at 15 knots per hour and the other boat traveling west at 12 knots per hour. How fast is the distance between the boats changing after 2 hours?
So i draw a right triangle and label the sides as x and y and the hypotenuse as d (for distance). i'm guessing i'm going to have to use the pythagorean theorem and then take the derivative but i'm not quite sure of what to do with the 2 hours data... thank you.
SOLUTION: Two boats left the harbour at the same time. One travelled at 10km/h on a bearing pf N47'E. The other travelled at 8km/h on a bearing of N79'E. How far apart were the boats after 4
A yacht sails from a harbour H to a point C, then to a point D as shown below. C is 50 kilometres due east of H.. D is on a bearing of 040° from C and is 79 kilometres from H. Calculate the size of angle CDH.
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2 yachts leave from a harbour, H. Yacht A leaves on a bearing of 0650 and sails for 25km. Yacht B leaves on a bearing of 1200 and sails until it is 30km from...
9. Trigonometry 2 - Sine, Cosine Rule, Area of Triangle 1. Two yachts leave from harbour H. Yacht A sails on a bearing of 072° for 30 kilometres and stops. Yacht B sails on a bearing of 140° for 50 kilometres and stops. How far apart are the two yachts when they have both stopped? Do not use a scale drawing. 4 RE 2.
Two yachts leave harbour H. Yacht A sails on a bearing of 072º for . 30 km and then stops. Yacht B sails on a bearing of 140º for ... This means the angle between the paths of the yachts is 68 degrees. It is a SAS triangle. We know two sides and an angle between them. Third side 2 = side1 2 + side2 2 - 2*side1*side2*cos ...
Two yachts leave harbour H; Yacht A sails on a bearing of 072° for 30 km and then stops. Yacht B sails on a bearing of 140° for 50 km and then stops. How far apart are the two yachts when they both have stopped? 50 km. 00:21. Two ships leave port at the same time. Ship A sails on a bearing of 037° for 120 km. Ship B sails on a bearing ...
2 yachts leave from a harbour, H. Yacht A leaves on a bearing of 0650 and sails for 25km. Yacht B leaves on a bearing of 1200 and sails until it is 30km from Yacht A. How far has Yacht B sailed? 02:11. A boat sailed from the marina on bearing S38°W at 12 mph for 1.5 hours. a. Find the distance from the marina.
VIDEO ANSWER: I'm hi. The two yards are leaving from the same harbor. The first year is living on a bearing of 65 degrees, so let's take this as the harbor we have. 65 degrees bearing is what it's going to be. The coordinate lines are X,X. And axis
Advanced Math questions and answers. 5 Question 5 2 yachts leave from a harbour, H. Yacht A leaves on a bearing of 065° and sails for 25km. Yacht Bleaves on a bearing of 120° and sails until it is 30km from Yacht A. How far has Yacht B sailed? (7 marks) I.
From the above diagram 13∘ 13 ∘ is the angle travelled towards west and 75∘ 75 ∘ is the angle travelled towards East. 220 220 is the distance travelled towards west in 22 22 hours. 176 176 is the distance travelled towards East in 22 22 hours. Now we need to find x x and you can use Law of Cosines. x2 = (220)2 + (176)2 − 2(220)(176 ...
Yacht A sails on a bearing of 072° for 32 miles, and Yacht B sails on a bearing of 140° for 50 miles. We need to use trigonometry to solve this problem, treating the problem as one of finding the third side of a triangle when two sides and the included angle are known. First, we calculate the angle between the paths of the two yachts.
Two boats leave the harbour at the same time. Boat A travels at 32km/h on a bearing of 125 degrees and boat B travels at 18km/h on a bearing of 205 degrees After 3 hours How far apart are the boats? In what direction would the skipper of boat B have to look to see boat A? ** Draw a triangle with the apex representing the starting point where ...
The distance is changing at sqrt(1476)/2 knots per hour. Let the distance between the two boats be d and the number of hours they've been travelling be h. By the pythagorean theorem, we have: (15h)^2 + (12h)^2 = d^2 225h^2 + 144h^2 = d^2 369h^2 = d^2 We now differentiate this with respect to time. 738h = 2d((dd)/dt) The next step is finding how far apart the two boats are after two hours.
Please help me 2 yachts leave from a harbour, H. Yacht A leaves on... Math. Applied Mathematics
Two boats left the harbour at the same time. One travelled at 10km/h on a bearing pf N47'E. The other travelled at 8km/h on a bearing of N79'E. How far apart were the boats after 45 min? Round your answer to the nearest tenth of a kilometre.: the angle between the paths of the two boats: 79 - 47 = 32 degrees
D C is 50 kilometres due east of H. D is on a bearing of 040 ° from C and is 79 kilometres from ... 5 Stéei 2022-23 Two yachts leave from harbour H. Yacht A sails on a bearing of 072 ° for 30 kilom...
Find an answer to your question Two boats leave the same harbor in Hawaii at the same time. Boat A is traveling due west at a speed of 45mph. Boat B is travelin…
Trigonometry questions and answers. Two pleasure boats leave the harbour from the same spot at the same time. One travelled at 10 km/hour on a course of 47 degrees. The other travelled at 8 km/ hour on a course of 79 degrees. How far apart were the boats after 45 minutes, to the nearest tenth of a kilometre. Include a diagram.
You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Two speedboats leave a harbour in different directions. One boat travels at 21 km/h and another boat travels at 21 km/h. The angle between the two paths is 39 degrees. Complete the sketch of this scenario.
Calculus questions and answers. Two boats leave a harbor at the same time. Boat A cruises northwest at a rate of 17 knots (nautical miles per hour). Boat B cruises north at a rate of 21 knots. (a) Find the displacement vector from boat A to boat B half an hour later. (b) For the passengers in boat A, what does the velocity of boat B appear to be?
Step 1. and the other boat sails at 27 k m / h at a bearing... 4. Two boats leave the harbor at the same time. One sails at 30 km/h at a bearing of 305 degrees. The other sails at 27 km/h on a bearing of 333 degrees. How far apart are the boats after 2 hours? Include a diagram as part of your solution.