A street rises vertically 4.2 m for each 135.1m horizontal distance. What is the angle the street makes with the horizontal?

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

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Q: A cable from the top of a 100 foot telephone tower makes a 50° angle with the ground. How long is…

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Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

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Q: 2. At a point 160 feet from a building, and in a horizontal line in its base, the angle of elevation…

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Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: Length of the support post = 20foot Angle between ground and support post = 70° sinθ =…

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

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Q: 2. From the top of the cliff 350 ft. high, the angle of depression of a boat on the sea is 15°. How…

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

Q: A 300 meter cable wire is attached to the top of a tower from the ground. The angle of elevation to…

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Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

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Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches…

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Q: A 2525-ft ladder leans against a building so that the angle between the ground and the ladder is…

A: Length of the ladder = 25ftangel between ground and the ladder = 78°

Q: A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the…

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Q: The diameter of a wheel is 48 inches. degrees through which a point on the circumference turns when…

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Q: The height of a radio tower is 800ft, adn the ground on one side of the tower sloped upward at an…

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Q: A 14-foot ladder leans against a wall so that the angle between the ground and the ladder is 33°.…

A: Length of Ladder is 14 foot  The angle between the ground and the ladder is 33 degrees. To find how…

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: An 18 - foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to…

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

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Q: How high is the building whose horizontal shadow is 60 meters when the angle of elevation of the sun…

A: The building whose horizontal shadow is 60 meters when the angle of elevation of the sun is 58°12'

Q: 4. A 54 -ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: the length of the shadow of a building 34.09m tall is 37.62m. Find the angle of elevation of the sun…

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Q: A 50ft tower is located on the edge of a river. The angle of elevation between the opposite bank and…

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Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

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Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

Q: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

A: A boy is singing Lupang Hinirang at a location in which the angle of elevation of the top of a 4-m…

Q: A small plane takes off from an airport and begins to climb at a 10.08 angle of elevation at 5,000…

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Q: A minute hand of a clock has a length of 15cm. How long will it sweep out an angle of 105°

A: A minute hand of a clock has a length of 15cm. The area it will sweep at an angle of 105° , is…

Q: From the top of a lighthouse 96 feet high, the angle of depression to a small boat is 37.1658°. How…

A: Follow the procedure given below.

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the…

A: see below the answer and explanation

Q: Two gears are adjusted so that the smaller gear, with a radius of 12.4cm, drives the larger one. If…

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Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A:

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: If a train climbs at a constant angle of 1.25°, how many vertical meters has it climbed after going…

A: Now draw the figure according to given information

Q: A monument is 35m tall. What is the length of its shadow when the angle of elevation of the sun is…

A: We know that tan(θ)=opposite sideadjacent side

Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Find the angle of elevation of the…

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

Q: 24. How far up a vertical wall can a 4-meter ladder reach if the angle it makes with the ground is…

A:

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: A 33-ft ladder leand against a building so that the angle between the ground and the ladder is 80°.…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and…

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

Q: 4) The airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. 19 ft 31…

A: Given: The airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. To…

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

Q: The length of a string from the center of a yo-yo to tip of Tony’s middle finger is 12 cm. If Tony…

A:

Q: A sprinkler on a golf course fairway is set to spray water over a distance of 70 feet and rotates…

A: Given, sprinkler rotates through an angle 48o and sprays water over a distance of 70 feet.

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.