Distance Between Two Ships Two ships leave a harbor entrance at the same time. Thefirst ship is traveling at a constant 18 miles per hour, while the second is traveling at aconstant 22 miles per hour. If the angle between their courses is 123 degree, how far apartare they after 30 minutes?

Distance Between Two Ships Two ships leave a harbor entrance at the same time. Thefirst ship is traveling at a constant 18 miles per hour, while the second is traveling at aconstant 22 miles per hour. If the angle between their courses is 123 degree, how far apartare they after 30 minutes?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.8: Applications And Models

Problem 23E: Distance A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the...

See similar textbooks

Related questions

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

A: 30 minutes =0.5 hours, We know that, Distance = speed × time Distance traveled by the first ship =…

Q: A balloon passes between two observers that are 2 miles apart. The angle of elevation are 27° and…

A: A balloon passes between two observers that are 2 miles apart. The angle of elevation are 27° and…

Q: Law of Cosine There are 3 ships on the South China Sea named MV Berna, MV Maya and MV Josy. The…

Q: A boy flying a kite is standing 30 m from a point directly under the kite. Is the kite's string is…

A: The given situation can be given in the figure below;

Q: Great Pyramid in Egypt. From where Miko is standing, the angle of elevation to the top of the…

A: We wil find the height of pyramid.

Q: A statue 1.6 m tall stands on the top a pedestal. From a point on the ground the angle of elevation…

Q: Force X has a magnitude of 1300 pounds, and Force Y has a magnitude of 1530 pounds. They act on a…

A: magnitude of equilibrium is 2466 pounds and angle between equilibrium force and 1300 pound force is…

Q: Distance between Runners Two runners in a marathondetermine that the angles of elevation of a news…

A: Two runners in a marathon, the angles of elevation of a news helicoptercovering the race are 38° and…

Q: A person walks out an unknown distance from a building of height 18 m and shines a flashlight bea…

A: We will use trigonometric ratios to find the AC and CB

Q: 2. A ship leaves a port and sails 4 hours on a course of 80° at 20 knots. Then the ship changes to a…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: A tree is observed on the opposite bank of a river. At that point the river is known to be 140 feet…

Q: Two ships leave port at the same time one travels at 5km /h on a bearing of 046 degrees the other…

A: Given that: Two ships leave port at the same time one travels at 5km /h on a bearing of 046 degrees…

Q: Distance Between Two Planes Two planes leave an airport at the same time. Theirspeeds are 130 miles…

A: Given that Two planes leave an airport at the same time. Theirspeeds are 130 miles per hour and…

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

A: Here we find the distance between two ships after two hours.

Q: 1. A balloonist is directly above a straight road that joins two towns 1.5 miles away from each…

A: Below is the solution:-

Q: Two search teams spot a stranded climber between them on a mountain. The first team is 0.6 miles…

A: Angle of elevation : The angle between horizontal plane and line of sight from observer eye if…

Q: Airplane Ascent An airplane leaves the runway climbingat an angle of 18° with a speed of 275 feet…

A: Given : Airplane Ascent An airplane leaves the runway climbing at an angle of 18° with a speed of…

Q: Rabbit A and rabbit B are sitting 36 feet apart. Between them is their home (rabbit hole C) beneath…

A: Given, ∆ABD with ∠A = 52° ; ∠B = 48° and AB = 36 feet We have to find the height of the tree…

Q: Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 12…

A: Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 12…

Q: Height of a Mountain While traveling across flat land,you notice a mountain directly in front of…

Q: 15. An airplane climbs at an angle of 12 with the ground. Find the horizontal distance it has…

A: Definition used - In a right angle triangle -…

Q: Two ladders of length a lean agains opposite walls of an alley with their feet touching. One ladder…

A: The problem can be depicted as shown below,

Q: A flagpole 3m high stand at the top of pedestal 2m high located at one side of pathway. At opposite…

Q: Distance between a Whale and a Lighthouse A whale researcher is watching a whale approach directly…

A: Use trigonometric ratios

Q: two ships leave a harbor at the same time. the first ship is traveling at a constant 10 miles per…

Q: ships leave a harbor entrance at the same time. The first ship is traveling at a constant 18 miles…

Q: Two points A and B are on opposite sides of a building. A surveyor select a third point C to place a…

Q: 80. Height of a Building From a point A on the ground, the angle of elevation to the top of a tall…

A: Given that the angle of elevation from a point A to the top of a…

Q: Two dormitories are located on a campus. The (direct) distance between their roofs is 47.2 meters.…

A: We will find the height of each building and the viewing angle as following.…

Q: 4: Two ships are currently sailing towards the port in a nearby city. Located at the edge of the…

A: Considering the base of light house as L and top of light house as T, the closest ship as C and…

Q: 11. A road slopes 12° above the horizontal, and a vertical telephone pole stands beside the road.…

A: first, we will draw a diagram according to the given data in this diagram, marks points first,…

Q: 12. A ladder on a fire truck has its base 8 ft. above the ground. The maximum length of the ladder…

A: In ∆ABCABAE = sin 70°AB100 = 0.865AB = 8651000 × 100AB = 86.5 feet

Q: The line of sight of an alidade on a plane table is directed towards the tip of an observation tower…

A: When an elevation angle is provided and one of the lengths is provided trigonometric identities have…

Q: Two ships leave a dock at the same time. One sails northeast at the rate of 8.5 miles an hour. How…

A: Let A be the first ship ad B be the second ship. Then, Velocity=distance/time

Q: Two circles, where radii are 12 inches and 16 inches respectively intersect. The angle between the…

A: We have, two circles, where radii are 12 inches and 16 inches respectively intersect. The angle…

Q: 6. Two support wires are fastened to the top of a flagpole. One wire attached to the grounded Point…

Q: An airplane, A, from Chicago, IL to New York City departs at the same as an, B, airplane from St.…

A: Airplane A-- Chicago to New york Airplane B-- St. Louis to New York the angle between the…

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

A: Please see the figure below to understand what's going on here:

Q: A person walks out an unknown distance from a building of height 18 m and shines a flashlight beam…

A: This question is based on Trignometric ratios.

Q: 6. A ferry is used to transport guests from the dock to two hotels across a large lake. The hotels…

Q: PRACTICE ANOTH Two planes leave an airport at the same time. Their speeds are 100 miles per hour and…

Q: Angle of Elevation 2. A man is standing in front of a wall and looking at its topmost point. If…

Q: Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place…

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

Q: AT.V. tower stands vertically on a bank of a river. From a point on the other bank directly opposite…

Q: A plane is flying at an elevation of 25000 feet. It is within sight of the airport and the pilot…

A: Given Data: The elevation of the flying plane is: y=25000 ft The angle of depression of the airport…

Q: Two circles, whose radii are 12 inches and 16 inches respectively, The angle between the tangents at…

A: Given:Two circleRadiir1=12 inchesr=16 incesθ=20°30'cosine rule in…

Q: Distance across a River : Points A and B are on opposite sides of False River. From a third point,…

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

Q: Photo attached

A: Consider the given information:

Question

Distance Between Two Ships Two ships leave a harbor entrance at the same time. The
first ship is traveling at a constant 18 miles per hour, while the second is traveling at a
constant 22 miles per hour. If the angle between their courses is 123 degree, how far apart
are they after 30 minutes?

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Law of Cosines$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

Calculating Distance Two straight roads diverge at an angle of 65. Two cars leave the intersection at 2:00 P.M., one travelling at 50 mi/h and the other at 30 mi/h. How far apart are the cars at 2:30 P.M.?
Distance Across a Lake Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such that CAB48.6. He also measures CA as 312 ft and CB as 527 ft. Find the distance between A to B.
Tracking a Satellite The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking stations A and B, which are 50 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87.0 and 84.2 respectively. a How far is the satellite from station A? b How high is the satellite above the ground?
Radio Antenna A short-wave radio antenna is supported by two guy wires, 165 ft and 180 ft long. Each wire is attached to the top of the antenna and anchored to the ground at two anchor points on opposite sides of the antenna. The shorter wire makes an angle of 67 with the ground. How far apart are the anchor points?
Height of a Building From a point A on the ground, the angle of elevation to the top of a tall building is 24.1. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2. Find the height of the building.
Height of a Mountain In traveling across flat land, you see a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5. After you drive 13 miles closer to the mountain, the angle of elevation is 9 (see figure). Approximate the height of the mountain.
Height of a Tower A water tower is located 325 ft from a building see the figure. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39 and that the angle of depression to the bottom of the tower is 25. How tall is the tower? How high is the window?
Determining a Distance A woman standing on a hill sees a flagpole that she knows is 60 ft tall. The angle of depression to the bottom of the pole is 14, and the angle of elevation to the top of the pole is 18, Find her distance x from the pole.
Speed Enforcement A police department has set up a speed enforcement zone on a straight length of highway. A patrol car is parked parallel to the zone, 200 feet from one end and 150 feet from the other end (see figure). (a) Find the length l of the zone and the measures of angles A and B (in degrees). (b) Find the minimum amount of time (in seconds) it takes for a vehicle to pass through the zone without exceeding the posted speed limit of 35 miles per hour.
Gateway Arch A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 35,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 22. a What is the distance between the plane and the arch? b What is the distance between a point on the ground directly below the plane and the arch?
Height of a Balloon A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 20 and 22. How high is the balloon?
Observation Wheel The High Roller, located on the Las Vegas Strip in Paradise. Nevada, is currently the largest observation wheel in the world with a diameter of 520 feet. The top of the wheel stands 550 feet above the ground. Find the height of a rider after the wheel has rotated through an angle of 110. Assume the rider boards at the bottom of the wheel.