A plane is flying at a speed of 400 miles per hour on a bearing of N50°W. The wind is blowing at 30 miles per hour on a bearing of N25°E. Solve, (a) Approximate the plane’s ground speed to the nearest mile per hour. (b)  Approximate the plane’s true course to the nearest tenth of a degree. What is its true bearing?

Q: 1) A 15-ft water slide has a 9.5 ft ladder which meets the slide at a 95°angle. Which equation is…

A:

Q: A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof.…

A: We are given that a boy is 1.5 m tall standing 12 m away from a church building that has a tower on…

Q: A plane flies 1.5 hours at 130 mph on a bearing of 20°. It then turns and flies 4.1 hours at the…

A:

Q: On a map, Orlando is 178 mm due south of Niagara Falls, Denver is 273 mm from Orlando, and Denver is…

A: Explained below

Q: How long would a ladder need to be to reach 19 ft high, if it placed so that the base of the ladder…

A: The objective of the question is determine the length of the ladder.

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…

A:

Q: The good ship Bravery is 30 km due west of the good ship Courageous. The Bravery sets out on a…

A: The "x" distance between the ships starts at 30 km and diminishes at a rate 20 sin15 + 25 sin 30 =…

Q: Two people start from the same point. One walks east at 4 mi/h and the other walks northeast (45…

A:

Q: A motorboat traveling across a wide river is headed 50 degrees north of west at a rate of constant…

A:

Q: A surveyor leaves her camp and drives 43km on a bearing of 032 degrees. She then drives 28km on a…

A:

Q: Over 2000 years ago, the Greek scholar Eratosthenes estimated Earth's circumference by assuming that…

A:

Q: I am initially standing 325 feet from the base of the building and see a bir at the top of the…

A: To solve the problem we using  tangent rule

Q: 3. (a) The Leaning Tower of Alpine has constructed 5° from perfectly vertical. When it casts a 20…

A: The schematic diagram of the problem is given below:

Q: 2. A girl 1.75m tall, standing on the roof of BHS principal's office, sees a car some distance away.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A pilot flies in a straight path for 1 hour 45 minutes. She then makes a course correction, heading…

A:

Q: You stand 50 inches from the base of the lamp post with a height of 130 inches. Find the angle of…

A: Given base is 50 inches from you andheight of lamp post is 130 inchesWe need to find angle of…

Q: 31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Given that, An airplane is flying at an altitude of 6000 m over the occan directly toward a…

Q: If a train climbs at a constant angle of 1.25º, how many vertical meters has it climbed after going…

A:

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

A:

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: 2. A bullet is fired at an angle of elevation of 36°. What is the muzzle speed if the maximum height…

A:

Q: Two ships leave port at the same time. One travels at 5 km/h on a bearing of 046°. The other travels…

A: for first ship speed = 5 km/h angle α = 46°   for second ship speed = 9 km/h angle β = 127°   time =…

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

A:

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: Solve for X (length of KS) when Angle L is and the length of LS is 19 degrees 11.1 inches

A: Given,  ∆KLS with ∠K = 90°  ;  ∠L = 19°   and   LS = 11.1 inches We have to find the value of x

Q: initially standing 325 feet from the base of the building and see a bird 2 points at the top of the…

A: We will find the change in line of sight.

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

A:

Q: 7. At a considerable distance away from the base of a cliff, a surveyor founds the angle of…

A:

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

A:

Q: 4. Jack is sitting at the top of a lighthouse that is 25m above sea level. From his point of view,…

A: We will solve the following.

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

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: A hiker set out from a straight east-west road on a bearing of N44° E and hiked for 22 miles before…

A: bearing N 300 E means the direction is 30º east of north. similarly  S150Emeans the direction is 15º…

Q: 12. At a certain time of day your shadow is 6 feet long. What would be your angle of elevation to…

A:

Q: An airplane needs to head due north, but there is a wind blowing from the northwest at 80 (km)/(hr.)…

A:

Q: The SS Bigfoot leaves Yeti Bay on a course of N37 degrees west at a speed of 50 miles per hour.…

A:

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

A:

Q: An observer at the top of a 532 foot cliff measures the angle of depression from the top of the…

A:

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

A:

Q: A pilot wants to fly on a bearing of 66.8°. By flying due​ east, she finds that a 55.5​-mph ​wind,…

A:

Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: A pendulum of length 12.1 inches swings 5°37' to each side of its vertical position. What is the…

A:

Q: An airplane is heading north at an airspeed of 650 km/hr, but there is a wind blowing from the…

A: Given  AC = 650 km/hr            AB = 30 km/hr   BC = resultant    from triangle ABC,  cosine rule,…

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…

A:

Q: Two ships left Port Hope on Lake Ontario at the same time. One travelled at 12 km/h on a course of…

A:

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: 1°=60'Therefore, 48°30'=48.5°44°10'=44.167°

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: 3. Joey has already released 180 m of string while flying a kite. Suddenly, his kite got stuck on a…

A:

Q: What bearing and airspeed are required for a plane to fly 320 miles due north in 2.0 hours if the…

A: