The taxiways for a small airport make a triangle with the runway. The runway is 6,100 ft long, and one of the taxiways is 3,200 ft. How long (in ft) is the other taxiway if the angle between the 6,100 ft runway and 3,200 ft taxiway is 64.0°? (Round your answer to three significant digits.)

Q: from a hot air balloon 2 km high, a person look east sees one town with angle of depression of 12…

A:

Q: Two tugboats that are a = 150 ft apart pull a barge, as shown. If the length of one cable is b = 216…

A: Use cosine formula.

Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

A:

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

A:

Q: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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

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: 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 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

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Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

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Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

A:

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

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: Two tugboats that are a = 130 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A:

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

A:

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: simon is due north of a tall totem pole and walks 75m, 40° west of south. From his new position, the…

A:

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

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: The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is…

A:

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: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: Find the angle between v and w to the nearest degree.

A: SOLUTION-

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

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Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

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Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

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Q: At 11:30 a.m. the angle of elevation of the sun for one city is 55.9°. If the height of a monument…

A:

Q: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

Q: Two tugboats that are a- 110 t apart pull a barge, as shown. If the length of one cable is b 202 t…

A: In this problem cosine law is used A2=B2+C2-2BCcos(A)

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 29°. How far…

A:

Q: Two tugboats that are a = 105 ft apart pull a barge, as shown. If the length of one cable is b = 214…

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 steamer sails 100 miles due east and then 40 miles on a bearing of 60 degrees.  How far is the…

A: To locate the steamer with respect to distance and the bearing in reference to the starting point

Q: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

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

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: From the top of a 200 foot lighthouse, the angle of depression to a ship in the ocean is 13°. How…

A: Answer and explanation is given below..

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

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: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

A:

Q: Two tugboats that are a = 145 ft apart pull a barge, as shown. If the length of one cable is b = 218…

A:

Q: A man standing between two trees and is 42 feet from the taller tree and 40 feet from the shorter…

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

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.