Hot-air balloon 110 feet 50° Ground

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

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Q: A life preserver is seen floating down a river. The life preserver is first spotted 50 feet away. A…

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Q: A dog looks up at a cat who has climbed a 29 foot tree. If the dog is 59 feet from the base of the…

A: The relation between the angles of a triangle and the sides of the triangle is given by the…

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

A: Solution: The objective is to find the height of the tree

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

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

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

Q: A lighthouse is 20 feet tall, and a boat is 50 feet from the base of the lighthouse. What is the…

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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: The angle of elevation from a boat to the top of a lighthouse is 50°. If the boat is 150 feet from…

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Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 78 feet long is…

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

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Q: From a point on the ground 43m away from a tree, the angle of elevation is 30 degrees. How tall is…

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Q: To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then,…

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Q: A person looks up from the ground at an angle of 73o to a person on the top of the Eiffel Tower. The…

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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 kite with a string 150 feet long makes an angle of 45° with the ground, Assuming the string is…

A: Topic: height and distance

Q: The angle of elevation from a point on the ground to the top of a pyramid is 35(degrees)30'. The…

A: It is given that, the angle of elevation from a point on the ground to the top of a pyramid is…

Q: An airplane is headed for the airport, 17 miles away. If the airplane is at an altitude of 1.52 mi,…

A: We will find the angle of depression.

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A: Solve for the height of the tower

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

Q: A lighthouse operator sights a sailboat at an angle of depression of 17 degrees. If the lighthouse…

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Q: A building that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

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Q: A 62-foot guy-wire makes an angle of 60° with the ground and is attached to a telephone pole (see…

A: Consider the given figure. Redraw the figure.

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

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

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: surveyor measures the height of an ad billboard on a skyscraper by walking 45 ft. away from the…

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Q: a 24 foot ladder leaning against a building forms an 18 angle with the side of the building . how…

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Q: The shadow of a red-pine tree in Northern Minnesota is 131 feet long when the angle of depression…

A: Given: The red-pine tree AB with its shadow BC = 131 ft. The angle of depression is 31o.

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: A sailor in a boat observed that at a certain​ point, the angle of elevation of the tip of the torch…

Q: A 105m fre truck ladder is leaning against a wall Find the distance d the ladder goes up the wall…

A: answer is in next step

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

A:

Q: A 500-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: Given a 500 ft -guy wire is attached to the to a communications towerand makes an angle 65° with the…

Q: A ladder leaning against the wall makes an angle of 74 with the ground. If the foot of the ladder is…

A: Since, a ladder is leaning against the waall making an angle of 74° withthe ground.Alos, we have…

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

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Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

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 telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 89 feet long is…

A: Here, height of pole can be taken as base and length of the wire can be taken as the hypotenuse for…

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: A basketball player looks directly at the rim that is 10 feet high. The angle of elevation from her…

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Q: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: he angle of elevation from a point on the ground to the top of the 225-foot cell phone tower is 65…

A: Given the length of tower is 225 foot which is also perpendicular of triangle  angle is 65 degree…

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: A 75-ft tall masthead of a tugboat is located 45 ft. away from the bow. If the top of the masthead…

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Q: A radio tower is located 300 feet from a building. From a window In The building, a person…

A: Answer is in below step

Q: A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the…

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Q: A man stands near an antenna tower and observes the angle of elevation to the top of the tower is…

A: Given: According to the question, the figure will be:

Q: At a point 500 miles north of a ship, the shoreline runs east and west. West of that point, the…

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Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A: Consider the ladder is the hypotenuse of the triangle that is 20 ft. The angle between the ladder…

Q: A boat on the ocean is scanning the depths for a sunken ship. When they find it, their scanner tells…

A: The angle of depression is the angle between the horizontal line and the line joining the observer…

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

A:

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.