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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: 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. If the length of…

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

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Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: Trigonometry is a branch of mathematics that studies relationships between side lengths and angles…

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: 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 building at the foot of a hill is 15.6 m high. Find the height of the hill if the angle of…

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

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Q: SUpport Wih 28-foof felephone pole, as shown in the diagram below. The wire makes an angle of 50°…

A: Use trigonometric ratio

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: A tram carries passengers to the top of Mt. Goodview. The angle of elevation is 36 and the distance…

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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 rock dropped 182 feet straight down, from the learning tower. it lands 14 feet away from the base…

A: Given,A rocket dropped 182 feet straight down from the learning tower.it lands 14 feet away from the…

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

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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…

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

Q: Spiderman is shooting webs at a lamp post. The first web is 14 meters long hits the to lamp post.…

A: We will use trigonometric Ratio to find the distance.

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: The measure of the angles LBAD and LCBD and the segment AB are given. Find the height of the…

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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: In what quadrant does the terminal side of its positive reference angle lie? A. IV B. III C. I D.…

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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: Finding Angles For the triangle shown, find (a) ∠BCD and (b) ∠DCA.

A: The given data are: Let a=20, b=28, c=20 Calculate the angles (a) ∠BCD and (b) ∠DCA. Here we use…

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: 9) A lighthouse operator sights a sailboat at an angle of depression of 25°. If the lighthouse is 40…

A: We have to find distance

Q: A loading ramp is 12 feet long and is placed from the ground level to the top of a loading platform.…

A: Given:- A loading ramp is 12 feet long and is placed from the ground level to the top of a loading…

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: Radio Antenna A short-wave radio antenna is supported bytwo guy wires, 165 ft and 180 ft long. Each…

A: Radio Antenna A short-wave radio antenna is supported bytwo guy wires, 165 ft and 180 ft long. Each…

Q: large weather balloon is tethered by two ropes. one rope measures 23 feet and attaches to the…

A: Explanation and solutions is given below....

Q: A student is flying a kite. If the length of the string of the kite is 125 ft and the angle of…

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Q: From a boat on the lake, the angle of elevation to the top of a cliff is 12° 9'. If the base of the…

A: Angle of elevation is given as 12°9' Now, we know that 1' = 160° Therefore, 12°9' = 12+960° = 12.15°

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

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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: Three cables are attached to the top of the tower at A. Determine the angle formed by cables AB and…

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Q: Nobby, Dorry and Lanny are camping in the woods. They each have their own tent and the tents are set…

A: Please see the below picture for detailed solution.

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…

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Q: An observer at Airport A sees a plane 35 miles away. Airport A is 50 miles from Airport B. From…

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

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Q: ππ A ray makes angles with OX and OY respectively 3'3 Find the angle made by it with OZ

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Q: A man at the lighthouse sees a boat at an angle of 27°. If the tower (BC) is 50 feet, how far (AB)…

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Q: 5. From the top of a tower which 175 ft. tall, the angle of depression to a house is 13° How far is…

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Q: Two buildings with different height are at a distance from one another. The height of the taller…

A: Using trigonometry identity

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…

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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.