How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to the ground?

Q: A 12 ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder…

A: From the given, consider the below figure

Q: A 17-foot ladder is placed against a wall. The ladder is on level ground at an angle of 71.5 degrees…

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

A:

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

A:

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

A:

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: A 12-foot ladder leans against a building and reaches a window 10 feet above ground. What is the…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE BELOW.

Q: A 6-foot ladder leans against a wall so that the angle between the ground and the ladder is 78 How…

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Q: A 39-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

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

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Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: A force of 745 pounds just keeps a 4100 - pound vehicle from rolling down a hill. To the nearest…

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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 32-foot tall Tadder rests against a vertical wall. If the top of the ladder reaches a point 18…

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Q: An 8 foot ladder is used to scale a 6 foot wall. At what angle of elevation must the ladder be…

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

A:

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

A: sin theta=opposite/hypotenuse

Q: A ladder leans up against a building at an angle of 65° with the ground. If the ladder is 5 metres…

A: Given: A ladder leans up against a building at an angle of 65° with the ground. The ladder is 5…

Q: A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation…

A:

Q: Due to a storm, a pilot flying at an altitude of 586 feet has to land early. If he has a horizontal…

A:

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

A:

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

A:

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios  44.83 inches high the wood plank reach up to the side of the building.…

Q: • A Statue 10m high is standing on a base of 2m high, If an observer's eye is 1.2 m above the…

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Q: The figure shows a 450 foot tower on the side of a hill that forms a 8° angle with the horizontal.…

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Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

A: ANSWER IS AS FOLLOWS:

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: You are standing 100 ft from an arch that is 68 ft tall. At what angle do you have to look up to see…

A: Topic = Trigonometric ratios

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 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: What is the angle of depression from the start of a 6-foot-high access ramp that ends at a point 40…

A: Given Data: The height of the ramp is: y=6 ft The distance between endpoints along the ground is:…

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

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

A: We will use formula of sin(x) to solve this.

Q: A ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

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: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

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Q: A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: SinB = opposite side / hypotenuse.

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: The roof is 32.0 ft wide. If the rafters are 18.0 ft long, at what angle will the rafters be laid at…

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Q: A 32ft ladder leans against a building so that the angle between the ground and the ladder is 81…

A:

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 12-ft ladder leaning against a house makes a 64° angle with the ground. Will the ladder reach a…

A: Check the ladder reach window sill 10.5 ft up from the base of house.

Q: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82. How…

A: Given: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82…

Q: A street rises vertically 4.2 m for each 135.1m horizontal distance. What is the angle the street…

A: To calculate the angle that made by street with horizontal where, the vertical distance is 4.2 m and…

Q: A ball is thrown at an angle of 45o to the ground. If the ball lands 90 m away, what was the initial…

A:

Q: A kite is flying at a 28° angle on a 300 ft string. Assuming the string is straight,how high is the…

A:

Q: 3. Joey has already released 180 m of string while flying a kite. Suddenly, his kite got stuck on a…

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.