Two ships, one sailing at 30mi/h and the other at 45mi/h. left port at the same time. Three hours later they were 120mi apart. If you had to find the angle between their courses, an equation that could be used to solve this problem is:

Q: A man in a balloon observes two points, A and B, on the horizontal plane. The angle of depression is…

A: The sketch of the given problem is shown below, From triangle DAC,

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…

A:

Q: Two ships leave a port at the same time, the first on a bearing of 65º, the second on a bearing of…

A: Let A be the starting point of two ships. Let B be the position of the ship travelled 20 nautical…

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

A: First, draw the diagram depicting this scenario. Then, use the tangent ratio to determine the angle…

Q: Two meteorologists are 25 mi apart located on an east-west road. The meteorologist at point A sights…

A: To find the distance from each meteorologist to the tornado

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A: We sketch the situation roughly C and D are two mile posts. So the distance between them is = 1…

Q: Solve the problem. 11) Two points, A and B, are on opposite sides of a building. A surveyor chooses…

A:

Q: Solve the problem. 5) From a boat on the lake, the angle of elevation to the top of a cliff is…

A:

Q: A pilot flies in a straight path for 1 hour 15 minutes. She then makes a course correction, heading…

A: Distance travelled = Speed * Time of travel

Q: An airplane traveled north for 250 miles and west for 325 miles before reaching its destination. If…

A: Given that an airplane traveled north for 250 miles and west for 325 miles before reaching its…

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: 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 homeowner is to construct a ramp to his front door to make it wheel-chair accessible. How long is…

A:

Q: From a second storey of a building window directly across the street, the angle of elevation of the…

A:

Q: If the distance e from a point directly below the plane in the picture to a radar station is 125…

A: Solution: The objective is to find the distance from the plane to the ground

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

A:

Q: Aarnie has plans to build a treehouse in a large oak tree in his backyard. He takes measurements…

A:

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: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

Q: If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

A: If we are given an acute angle and a side in a right triangle, what unknown part of the triangle…

Q: at the same basketball game during halftime, the home team's mascot has a t-shirt launcher in which…

A:

Q: An aircraft is spotted by two observers who are 1750ft apart. As the airplane passes over the line…

A:

Q: While shopping at his local home improvement store, Chen noticed that the directions for an xtension…

A: To find the length of ladder  The figure is

Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A:

Q: A person standing on the street looks up to the top of a building and finds the angle of elevation…

A: Given that the person is standing near the building

Q: Use the information given in each problem to complete the following problems. A worm on the ground…

A: The worm is the reference point.  The angle of elevation marks the angle of the reference.  Flagpole…

Q: At 11:30 a.m. the angle of elevation of the sun for one city is 55.9°. If the height of a monument…

A:

Q: The measure of the angle 330° in standard position is given. Find two positive angles and two…

A:

Q: One of the legs of a right triangle measures 1 cm and its hypotenuse measures 8 cm. Find the measure…

A: By, Pythagorean formula,  If two legs are x,y. And hypotenuse is z. Then, x^2+y^2=z^2.

Q: Two cruiser warships the Arizona and Baltimore are trying to find the position of an enemy…

A: according to question USS Arizona is at B and USS Baltimore is at A…

Q: Solve the problem. 1) A Campus flagpole stands 65.2 feet high. Ifit casts a shadow S7.5 teet in…

A: Since, it is given that a camous flagpole stands 65.2 feet high castsa shadow of 87.5 feet in…

Q: An American-Italian high school hockey player from the North Shore is standing 10 feet from a…

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Q: and

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

A:

Q: Solve each problem completely. 1. From the second-floor window directly across the street the angle…

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Q: Xavier leans a 28-foot ladder against a wall so that it forms an angle of 69° with the ground. How…

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Q: Bart is standing on a balcony that is 62 feet above the ground and sees two cars in the parking lot…

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Q: Two buildings are 250 ft apart. From the top of the taller building, the angle of depression is 25…

A: I am attaching image so that you understand each and every step.

Q: Out for a walk in Chicago, Morgan measures the angle of elevation to the distant Willis Tower, and…

A:

Q: The diagram shows the side of a small shed with vertical walls of equal height and a roof that is…

A: A small shed is formed with two equal vertical walls and its roof is formed by two slanted sections.…

Q: Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the ground. How…

A: topic - trigonometric ratios

Q: You are standing 10 feet away from a tree, and you measure the angle of elevation to be 19°. How…

A: By using trigonometric ratio and Pythagoras theorem, we calculate the height of the tree.

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

A:

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A:

Q: a ship is 2.3 degrees off course if the ship is travelling at 11 miles per hour how far course will…

A: distance travelled by ship d (speed = 16 miles per hour) so distance d = speed*time =11*3 =33 miles

Q: A man standing between two trees and is 42 feet from the taller tree and 40 feet from the shorter…

A: