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Q: A 9-foot (ft) ladder and a 4-foot ladder are leaning against a house. The two ladders create angles…

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Q: a man is standing near a radio station antenna observes that the top of the antenna is 54°. walks 60…

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Q: Elsa is flying two kites. She has 105 feet of string out to one kite and 114 feet out to the other…

A:

Q: HILLS The length of a hill in your neighborhood is 2000 feet. The height of the hill is 750 feet.…

A: Here we have been given that the length of a hill in the neighborhood is2000 feet. Also, the height…

Q: From a cliff, Phillip observes an automobile through an angle of depression of 23°. If the cliff is…

A: Consider ∠DCB=23° ⇒ ∠CBA=23°. Now consider the right triangle △ABC. sin 23=ACCB=50CB⇒CB=50sin…

Q: Windshield Wiper The arm and blade of a windshield wiperhave a total length of 34 inches. If the…

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

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Q: Hello, please help me with this question!!  A​ blimp, suspended in the air at a height of 400…

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Q: Venus Earth 47° 92,900,000 -O Sun (a) If the distance from the earth to the sun is 92.9 million…

A: Given: Distance from the earth to the sun is:  92.9 million miles Angle formed between Venus, the…

Q: A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35°. The…

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Q: A barge is being pulled by two tugboats that are 118 feet apart, as illustrated. Find the angle…

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Q: Height of a Building The angle of elevation from the top of a small building to the top of a nearby…

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Q: 9. A car is 12 m away from the base of the building. If the angle of elevation is 28°, find the…

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Q: Three friends are camping in the woods. Bert, Ernie and Elmo. They each have their own tent and the…

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Q: A plane is flying at an elevation of 20,000 feet. The pilot of the plane measures the angles of…

A: To find the distance between the buildings to the nearest foot:

Q: The basket of a hot-air balloon is 300 ft high. The pilot of the balloon observes a stadium 2200 ft…

A: We can represent again this problem

Q: A Albert and Belle are part of a scientific team studying thunderclouds. The team is about to launch…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: George is flying a kite. The kite is directly over a picnic table which is 5 m away from George. The…

A:

Q: The angle of elevation from a point on the ground to the top of a pyramid is 32°30​'  The angle of…

A: The given information can be represented by the following figure. Let AB be the pyramid with height…

Q: A ladder rests against the wall of a building and reaches 22 feet from the ground, while its base is…

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Q: A water tower is located 325 ft from a building. From a window in the building, an observer notes…

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Q: Radio antenna A guy wire is attached to the top of a radio antenna and to a point on horizontal…

A: A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that is…

Q: A drone is flying over a baseball field, directly between first and second base. The angle of…

A:

Q: Height of a Building The angle of elevation from the top of a small building to the top of a nearby…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A ladder, with its foot in the street, makes an angle of 30 with the street when its top rests on a…

A:

Q: A pole stands on a plane which makes an angle of 15° with the horizontal. A wire from the top of the…

A: The plane that the pole is standing on is inclined 30° to the horizontal and a wire is anchored from…

Q: A man is flying a kite. The kite string is 60 feet long. What angle does the string need to form…

A: To find: The angle that the string need to form with the ground. Given: The length of string is 60…

Q: An observation tower is 75 meters high a support wire is attached to the tower 20 meters from the…

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Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

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Q: You are in a hot air balloon that is 600 feet above the ground. You can see two people. The angles…

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Q: 5. Johnny and Bobby are standing on opposite ends of a 120ft boat. Both spot a buoy between them out…

A: We will solve the following.

Q: The captain of a small boat measures and deteremines that the angle of depression from the top of a…

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Q: Richard sees a balloon that is 100 ft above the ground. If the angle of elevation from Richard to…

A: Given the angle of the elevation is 75 degrees. The given traingle is right angle traingle. Given…

Q: he wheel on a bicycle has a radius of 27cm.  The angle the wheel turns when the bicycle travels 6…

A: To find: The angle the wheel turns when the bicycle travels 6 kilometers. Given: The radius of the…

Q: A fisherman at sea observed that the angle of elevation of a cliff is 18°. What is the distance…

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Q: Sam, Arnel and Adrian are participants in a math contest. The way they are seated in their assigned…

A: We will solve the following.

Q: A loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6500 pounds…

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Q: Sam is framing a closet under a stairway. The stairway is 14 ft 5 inch long and it’s angle of…

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Q: 6. The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat İS 532…

A:

Q: Towing a Barge Two tugboats that are 120 ft apart pull a barge. as shown. If the length of one cable…

A: Given- Towing a Barge Two tugboats that are 120 ft. apart pull a barge as shown. The length of one…

Q: A kite is stuck in a tree and Joe is holding the string. The angle formed between the kite string…

A: This question is about application of trigonometry identities.

Q: (WASSCE) A woman looking out from the window of a building at a height of 30 m, observed that the…

A: Given:

Q: While in India, after landing in Daman, we are going to visit New Delhi and the Taj Mahal in Agra…

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Q: A flagpole, which is 34 ft high, stands on top of a tower, which is 30 ft high. From a certain point…

A:

Q: How tall is a building if you are 400 feet from the base and the angle of elevation is 55.1°   A:…

A: Let height of building be h.

Q: À loaded barge is being towed by two tugboats, and the magnitude of the resultant is 6500 pounds…

A:

Q: 5. Johnny and Bobby are standing on opposite ends of a 120ft boat. Both spot a buoy between them out…

A: To find the distance between Johnny and buoy

Q: Ahmed is considering to buy a land. A surveyor has given a sketch of land as shown below. What is…

A: Given query is to find the length of the side opposite to angle B.

Q: An aeroplane at an altitude of 200 mts observes the angle of depression of opposite points on  the…

A:

Q: An escalator lifts people to the second floor, 25 ft above the first floor. The escalator rides at a…

A: Given  The escalator rides at a 30 angle

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.