A plane is flying with an airspeed of 180 miles per hour with a heading of 115°. The wind currents are a constant 27 miles per hour in the direction of due north. Find the true course and ground speed of the plane. (Round your answers to the nearest whole number.)

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

A:

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the house…

A: Applying trigonometric ratios in the triangle

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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…

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A: Given: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,…

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A:

Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

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A: Given A cruise ship maintains a speed of 15 knots (nautical miles per hour) in going from San Juan…

Q: If a plane takes off on runway 38 (N 38° W) and flies 8 miles, then makes a right (90°) turn and…

A: Given that: Takes off at N38°W   and   flies 8 miles and makes right turn 90° and flies 14 miles.…

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far…

A:

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

A:

Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

A:

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

A: Draw a schematic diagram of given question. Given data, Point A is the kite Length of string of…

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

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Q: A boat travels on a course of bearing S 63 degree 50' E for 111 miles. How many miles south and how…

A: Concept: The trigonometric ratio are ratios, sine, cosine, tangent, cosecant, secant and cotangent.…

Q: A helicopter takes off from an airport at an angle of 10° 40' . How high will it reach after it has…

A: There are six trigonometric functions which are sine, cosine, secant, cosecant, tangent and…

Q: An aeroplane is flying due north but, to avoid a storm, it flies 150 km on a bearing of 060° and…

A: Given,  An aeroplane flying 150 km on a bearing of 060° and then on a bearing of 320° . It done…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: Find the bearing of the ship. Round to the nearest tenth of a degree if necessary.

A: To determine the bearing of the ship.

Q: An eagle spotted a mouse 20 feet below at an angle of 42 degrees with the horizon. If the eagle…

A: From the given problem, The mouse is 20 feet below the horizon, sp EM = 20 feet The angle of…

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A:

Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

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

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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: A 16 foot ladder leaning against a wall of a house makes a 50 degree angle with the ground. How far…

A: We can find the answer as below

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

A: Given : The angle of elevation of the kite is 550. The string is 475 ft long.   To find the height…

Q: A boy flying his kite releases the entire length of his string which measures 26 m, so that the kite…

A: Find the solution below

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

A:

Q: A kite flies at a height of 30 feet when 65 feet of string is out. If the string is in a straight…

A: Given: A kite flies at a height of 30 feet when 65 feet of string is out. The figure gives the clear…

Q: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

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Q: Jazmin is flying a kite, but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

A:

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

A:

Q: The pilot of a small airplane flying 300 m above the ground notices a village off the left wing at a…

A:

Q: A plane is flying at a speed of 320 miles per hour on a bearing of N70°E. Its ground speed is 370…

A: The diagram for the speed of the wind , ground speed of plane in vector form is shown,

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: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

A:

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

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

A:

Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far…

A:

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

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A:

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

A: Given: Formula used: a2=b2+c2-2bc cos A