Ground Speed A ship headed due east is moving through the water at a constantspeed of 12 miles per hour. However, the true course of the ship is 60 degree . If the currentsare a constant 6 miles per hour, what is the ground speed of the ship?

Q: The angle of elevation to the drop of Wayne tower in Gotham city is 11 degrees from the ground at…

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Q: Height A football lands at the edge of the roofof your school building. When you are 25 feet fromthe…

A: Draw a diagram:   From the diagram, you have the sides opposite and adjacent to the angle so use…

Q: FERRIS WHEELS The Wonder Wheel Ferris wheel at Coney Island has a radius of about 68 feet and is 15…

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Q: Jason is flying a kite and has 300 feet of kite string out. The angle of elevation between Jason's…

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Q: A kite's string is 25 feet long. The angle of elevation of the string of the kite is 32°. If a…

A: To find the height of the kite

Q: Height of an Obelisk Two people decide to find the height of an obelisk. They posi-tion themselves…

A: In △ABC, tan 65∘=hxh=x tan 65∘     (1) In △ABD, tan 54∘=h25+xh=tan 54∘25+x       (2)

Q: Gears. A small gear has a radius of 3 inches and the larger gear has a radius of 15 inches. If the…

A: Topic = Angle measurements

Q: Windshield Wiper An automobile windshield wiper 10 inches long rotates through anangle of 60 degree.…

A: θ=60°, r1=10 inches and l=9 inches   Formula used: A=12r2θ

Q: Sara us flying a kite at the park. The angle of elevation from Sara to kite in the sky is 53 degrees…

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Q: Solve triangle ABC if a = 5 ft, b = 6 ft, and A = 35 degrees

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Q: Height A ladder that is 20 feet long leans against theside of a house. The angle of elevation of the…

A: Height A of the ladder that is 20 feet long It leans against the side of a house. The angle of…

Q: A plane takes off from a runway and travels 50,000ft at a constant angle of incline. The planes…

A: According to the question, the figure will be:   To find: Value of x.

Q: A little old man sailing his boat to get to the island. The Line of sight from the island to the…

A: Here we find the height of island.

Q: solution will be submitted. A ship travels 93 km on a bearing of 29 degrees; and then travels on a…

A:

Q: 9. Meteorology A meteorologist measures the angle of elevation of a weather balloon as 41°. A radio…

A: Let x be height of balloon above the ground.

Q: Current A ship is headed due north at a constant 16 miles per hour. Because ofthe ocean current, the…

A: The speed of the ship is 16mph (north). The ship deviated from original path by angle 15° and the…

Q: 9. A ship leaves port with a bearing of N62°E. After traveling 15 miles, the ship then turns 90° and…

A: We’ll answer  question #9 . Please submit a new question specifying the one you’d like answered Make…

Q: A secon triangle ha Angel's measuring 2×°,x° and x° Write an equation that can be solved to find x…

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Q: An observer standing on a cliff 320 feet above the ocean measured angles of depression of the near…

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Q: Yvette and Zach are hiking the same trail and both see a mountain in the distance ahead of them.…

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Q: Surveying From a point 15 meters above level ground, a surveyor measures the angle of depression of…

A: Given, the height is 15 meters. The angle of depression is 68°. To find the distance from the object…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: Let plane begins at point O and travel parallel to the x-axis, for 1 h 30 min 625×1.50=937.5 miles.…

Q: A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground.…

A: Given : A kite is flying 70 feet above the ground and is attached to a string tied to stake on the…

Q: A ship is sailing east. At one point, the bearing of a submerged rock is 47°20'. After the ship has…

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Q: At point A,the angle of elevation of a marathoner off to the sun is 75 degree. Find the distance…

A: Topic:- trigonometry

Q: 103. A kayaker paddles 3 mph in still water. If she heads due east but encounters a 0.8-mph current…

A: Let the east side be represented by +x direction and similarly, we will represent south direction…

Q: An airplane pilot over the Atlantic sights an atoll at the angle of depression of 5°. At this time,…

A: To find: The height of the plane to the nearest meter. Given information: An airplane pilot over the…

Q: A kite is flown with 420 yards of string. The angle of elevation of the string is 55°. How high…

A: sinθ=oppositehypotenuse

Q: Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the top…

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Q: Find the value of x in the figure below if MP¯ is parallel to RA¯.  Show your work.

A: The objective is to find the value of x. Given triangle is

Q: To input your angle measures in degrees, use the functions sind (5), cosd (5) and tand (5), instead…

A: This is a problem of a trigonometry. Based on application of trigonometry. Please follow the below…

Q: At a certain time, a vertical pole 10 feet tall casts a 14-foot shadow. What is the angle of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: A flagpole is situated on top of a building. The angle of elevation from a point on level ground 330…

A: The figure is drawn below. Trigonometric ratios can be used to find the height of the flagpole. From…

Q: A pilot flies in a straight path for 1 hour and 30 min. She then makes a course correction, heading…

A: Apply distance = speed * time  And proceed as shown...

Q: boat sails on a bearing of 67° for 125 miles and then turns and sails 230 miles on a bearing of…

A:

Q: Raphael and Inigo who are 25 feet apart, spot a balloon in the sky between them. The angle of…

A: According to the question:

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: Let the pilot flying from A for 1 h 30 min changing its course at point B, heading 10 degrees to the…

Q: swimming pool viewed from the side is a right triangle. it is 15 feet at its deep end with a angle…

A: Sin theta= perpendicular (p) / hypotenuse (h) tan theta =perpendicular (p)/base (b)

Q: Air Navigation An airplane flying at 550 miles perhour has a bearing of 52°. After flying for 1.5…

A: we have been given a bearing of 52° with 550 miles per hour.

Q: 7. You are standing on a riverbank. An observation tower on the other side of the river is known to…

A: Given tower height is 150 ft.Let the distance between base of tower and you is x ft.We know that tan…

Q: A boat leaves Matheson Hammock Marina at a constant speed of 3.6 mph. The boat travels south for 24…

A: Given, Constant speed = 3.6 mph Boat travels south for 24 min then East for 30 min. Formula for the…

Q: Ground Speed A plane is headed due east with an airspeed of 345 miles per hour. Its true course,…

A: Given: airspeed= 345 miles per hourThe first possibilities for…

Q: Ladder calculations A ladder 20 feet long leans against the side of a building, and the angle…

A: Given- The length of the ladder is 20 feet and the angle between ladder and the building is 22°. To…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: Given query is to find the distance from the starting point.

Q: A Ferris wheel has a radius of 75 feet. You board a car at the bottom of the Ferris wheel, which is…

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Q: Height of a Tree To estimate the height of a tree, one person positions himself duesouth of the…

A: Let one person stand at A and another at B and tree is at point C. Distance between person and tree…

Q: You look up at a 55 degree angle to see the top of a building the distance from you to the building…

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Q: A tower and a monument stand on a level plane. The angles of depression at the top and bottom of the…

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Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: If you like the solution then please give it a thumbs up.. The Answer is:         Distance = 2388.56…

Q: The distance between cell towers is 42 miles. From the western cell tower a phone signal is 20…

A: The distance between cell towers is 42 miles. From the western cell tower a phone signal is 20…