two ships leave a harbor at the same time. the first ship is traveling at a constant 10 miles per hour, while the second is traveling at a constant 26 miles per hour. If the angle between their courses is 169 degrees, how far apart are they after 30 minutes

Q: Two airplane leave an airport,and the angle between their flight paths is 40°. An hour later, one…

A: Here we have to find the distance between 2 planes by using law of cosines.

Q: In tracking the relative location of two aircraft, a controller determines that the distance from…

A:

Q: two planes leave an airport at the same time. their speeds are 100 miles per hour and 120 miles per…

A: Given, the speed of first plane is 100 mph and second plane is 120 mph.

Q: the angle of inclination from the base of skyscraper A to the top of the skyscraper B is approx 10.6…

A: We have, the angle of inclination from the base of skyscraper A to the top of the skyscraper B is…

Q: 7. Building A is 480 feet tall and Building B is 654 feet tall. If the angle of depression from the…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 10…

A: Speed of first ship is 10 mph. Speed of second ship is 26 mph. As we know, Distance=Speed×Time For…

Q: A river is flowing at 2.4 mph when a girl rows across it.  If the girl rows at a still-water speed…

A: The velocity of water flowing in the river is 2.4 mph. The velocity with which the girl rows is her…

Q: Two scuba divers are 20m apart below the surface of the water. They both spot a shark that is below…

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Q: A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the…

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Q: Two ships leave a harbor together traveling on courses that have an angle of 129° between them. If…

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Q: A ship's destination is 200km away. To avoid a storm in its path, the ship sails at an angle of 15°…

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Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

Q: A man and a woman standing 3.8 miles apart spot a hot air balloon in the sky between them at the…

A: Let, B=balloon M=man W=woman D=perpendicular base of the balloon   We have to find BD.

Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One…

A: Let's see the diagram below to understand what's going on:

Q: A plane fying at a height of 3000 feet above ground passes vertically above a helicopter at an…

A: Given: From the figure drawn: Point P represents position of plane. Height of the plane above ground…

Q: Relative to the acute angle θ, the three sides of a right triangle are the ________ side, the…

A: Explanation: The longest side of the right triangle, which is also the side opposite the right…

Q: When you reach the top of a mountain, a guide takes you ziplining back down it through a series of…

A:

Q: Two boats leave a harbour at the same time and head out at an angle of 35 degrees to each other.…

A: Given , in ∆ADBLaw of cosines :-d2=a2+b2-2ab cos D

Q: A passenger on a plane saw an island below him. If the altitude of the plane 2500 meters above the…

A: A passenger on a plane saw an island below him.The altitude of the plane 2500 meters above the…

Q: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

A:

Q: observation tower is 75 m high. A support wire attached to the tower 20 m from the top. If the…

A: Given query is to find the length of the wire.

Q: A person standing on top of a 15-foot high sand pile wishes to estimate the width of the pile. He…

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Q: A man and a woman standing 3.1 miles apart spot a hot air balloon in the sky between them at the…

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Q: What is the angle of elevation to the kite if a kite is 40 feet off the ground and the string…

A: Consider the diagram drawn as per the given information, here the objective is to find the angle of…

Q: when the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16 foot shadow. How…

A:

Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

Q: A bird is flying in the sky when it spots a worm on the ground. If the angle of depression from the…

A:

Q: Two planes leave an airport at the same time. Their speeds are 150 miles per hour and 120 miles per…

A: Consider the diagram  for the given condition. Consider the distance travelled by the first plane…

Q: The elevation angle of the artificial earth satellite is measured by two ground stations located on…

A:

Q: From a point on the floor the angle of elevation to the top of a door is 48 degree while the angle…

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: Suppose you are headed toward a plateau 68 m high. If the angle of elevation to the top of the…

A: Given : The height of a plateau is 68 m

Q: Two hikers are at opposite sides of a mountain, ready to begin their hike. The height of the…

A:

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: wire is attached from the top of a 30-foot tall telephone pole to a stake in the ground. If the…

A: Based on the information given in the problem, you can draw a right triangle like the one shown…

Q: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The height of the tower is 750 feet. and ground on one side of the tower slopes upward at an angle…

Q: Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 16…

A: The first ship is traveling at a constant speed of 16 miles per hour, The second ship is traveling…

Q: Two planes leave an airport at the same time. Their speeds are 110 miles per hour and 160 miles per…

A:

Q: two ships leave a harbor entrance at the same time. the first ship is traveling at a constant 14…

A: First ship travel with speed: 14 mph Second ship travel with speed:  26 mph

Q: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: Two ships leave a harbor entrance at the same time · The first ship is traveling at a constant 19…

A:

Q: A pole casts a shadow of 30 ft at one time and a shadow of 15 ft at a later time when the angle of…

A:

Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One…

A: find the distance in the following way:-

Q: Two ships, one sailing at 30mi/h and the other at 45mi/h. left port at the same time. Three hours…

A:

Q: An airplane is one mile above sea level when it begins to rise at a constant angle of 2 ° for the…

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

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Q: Two fire stations are 15 miles apart. Fire station B has an angle of elevation of 38* to the fire.…

A:

Q: Two vertical poles, A and B, cast shadows on the ground with lengths of 12 and 25m respectively. If…

A: From the given problem the representative diagram is as shown below: Let the height of pole A is y…

Q: Suppose you are headed toward a plateau 47 m high. If the angle of elevation to the top of the…

A:

Q: The measure of an angle in standard position is given. Find two positive angles and two negative…

A: