Answered: plane flies 1.4 hours at 120 mph on a…

plane flies 1.4 hours at 120 mph on a bearing of 20°. It then turns and flies 3.8 hours at the same speed on a bearing of 110°. How far is the plane from its starting point?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 62E

See similar textbooks

Related questions

Q: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

Q: A wheel is rotating at 4 radians per second, and the wheel has a 60 inch diameter. To the nearest…

Q: What is the vertical component of the ball's location, after it has spun through an angle of…

Q: . The windshield wiper of a car is 24 inches long. How many inches will the tip of the wiper trace…

A: Given that the length of the wiper of a car = 24 inchesThe circumference of the circle of radius 24…

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: A plane has an airspeed of 121 km/h. It is flying on a bearing of 70° while there is a 28 km/h…

A: see below the calculation and answer

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

Q: A plane flies due west for 2 hr then due south for 1 hr at an average speed of 375 mph. To the…

Q: A plane flies 1.3 hours at 110mph on a bearing of 30°. It then turns and flies 2.3 hours at the same…

Q: Athena kicks a football from the ground with a resultant velocity of 25 m/s at an angle of 47° above…

Q: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

Q: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

Q: A river is 5 km wide and flows at 4 km/h. Sam has a motorboat, which has a speed of 23 km/h in still…

Q: 25 ft. - 42 ft.-

A: height of flagpole = 25 ft length of shadow = 42 ft

Q: A rider in a road bike race had an average linear speed of 40.756km/hr. The wheel of his bicyle had…

A: Given:

Q: A volleyball is hit when it is 4 ft above the groundand 12 ft from a 6-ft-high net. It leaves the…

A: Explanation: Firstly we will draw the diadram According to the…

Q: A submarine climbs at an angle of radians (30°) above the horizontal with a heading to the…

Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

Q: A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of…

A: According to the question the figure is,

Q: The figure shows a 400-foot tower on the side of a hill that forms a 7° angle with the horizontal.…

A: Given a figure it shows a 400 foot tower on the side of a hill that forms 7 degree angle with the…

Q: An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Form the right triangle and use trigonometric ratios.

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: We have to find the angle and speed of the plane.

Q: An airplane is headed on a bearing of 156° at an airspeed of 252 km per hr. A 53 km per hr wind…

Q: A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies…

Q: An airplane is headed on a bearing of 160° at an airspeed of 209 km per hr. A 49 km per hr wind…

Q: В

Q: An airplane is heading north at an airspeed of 550 km/hr, but there is a wind blowing from the…

Q: The pilot of a small airplane flying 600 m above the ground notices a village 800 horizontal meters…

Q: A plane departs from Brisbane and travels 1320km on a bearing of 133 degrees where it lands in…

A: to determine the required distances based on the given data

Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

Q: The figure shows a 200-foot tower on the side of a hill that forms a 5° angle with the horizontal.…

Q: The figure shows a 450 foot tower on the side of a hill that forms a 8° angle with the horizontal.…

Q: A man is standing on the ground, looking at the top of an 80-ft building. The angle of elevation is…

Q: A plane with an airspeed of 190 mph is flying on a bearing of 120 degrees. A wind is blowing from…

A: To calculate the (absolute) velocity vector , given the relative velocity vector

Q: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. A 30°…

Q: A wheel 3ft in diameter, rolls up an incline of 15 degree. When the point of contact of the wheel…

A: Given: The angle between the radius and the vertical is the same as the angle of the incline h =…

Q: An airship is flying at an altitude of 800 m when it spots a village in the distance with a…

A: Consider the diagram given below, Point A is the location of the plane at that instant, point C is…

Q: An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the…

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: A ship travels west at 25 knots. At 7:30 p.m., the captain sees a floating becon due south of the…

A: to find:- distance between ship & beckon at the first sight.

Q: A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest…

A: Given, The length of a wheelchair ramp = 4.2m It rises 0.7 m We have to find its angle of…

Q: A plane flies 403 miles from Springfield to Rochelle with a bearing of N22•E. Then it flies 620…

Q: An airplane is headed on a bearing of 123° at an airspeed of 226 km per hour. A 49 km per hour wind…

A: We have been given that an airplane is headed on a bearing of 123° at an airspeed of 226 km per…

Q: An airplane is heading north at an airspeed of 550 km/hr, but there is a wind blowing from the…

A: Here we will find plane's speed relative to ground and degrees off course, we will solve this…

Q: Sally is throwing snowballs from a floor 5 feet above the ground with an initial speed of 24…

Q: A street rises vertically 4.2 m for each 135.1m horizontal distance. What is the angle the street…

A: To calculate the angle that made by street with horizontal where, the vertical distance is 4.2 m and…

Q: From the top of a 45-m high building, an observer sees a car heading toward the building at an angle…

A: AB = height of the building = 45 m The first angle of depression, ∠EAC =∠ACB = 15° As the car…

Q: From a point on the ground 100 m from the foot of a cliff, the angle ofelevation of the top of the…

A: Given that from a point on the ground 100m from the foot of a cliff, the angle ofelevation of the…

Question

A plane flies

1.4

hours at

120

mph on a bearing of

20°.

It then turns and flies

3.8

hours at the same speed on a bearing of

110°.

How far is the plane from its starting point?

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: now let us calculate the length AC and CB.

VIEW

Step 3:hence using Pythagoras theorem

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Quotient and Product$

Learn more about

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

Similar questions

The second hand of a clock is 8 centimeters long. Find the linear speed of the tip of the second hand as it passes around the clock face.
A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an idler. Show that the angular velocity of the third gear does not depend on the number of teeth of the idler gear (Gear 2).
A boat is traveling due east parallel to the shoreline at a speed of 10 miles per hour. At a given time, the bearing to a lighthouse is S70E, and 15 minutes later the bearing is S63E (see figure). The lighthouse is located at the shoreline. What is the distance from the boat to the shoreline?
Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of radius 5. The object have the same angular speed. Do the objects have the same linear speed? If not, which object has the greater linear speed?