1. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 54°. How tall is the flagpole?

Q: A ladder is placed 5 ft5 ft away from a wall and reaches a point 12 ft12 ft high. What is the…

A: Given:  A ladder is placed 5 ft away from a wall and reaches a point 12 ft high. To Find:  To find…

Q: To the nearest degree, what is the angle of depression from the hawk to the rabbit? 34° O 40° O 50°…

A: Let the angle of depression be X

Q: From a window 31.0 ft above the street, the angle of elevation to the top of the building across the…

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Q: On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

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Q: 2. A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30…

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Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

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Q: On a circle of radius 14 ft, how long is an arc that subtends a central angle of (a) 4pi/7 radians?…

A: Length of an arc substracting an angle θin radiansat the centreis given by ,l=θrwhere r : radius…

Q: 4) The angle of elevation from a boat to the top of a 48-meter lighthouse is 25°. How far is the…

A: According to our terms and conditions I have solved first question for next question repost

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 72°.…

A: perpendicular/hypotenuse=sin(angle)

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

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Q: 1. From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How…

A: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°.How far…

Q: A 26 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A: Solving the problem finding the angle between them.

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given ,  L = 30 cm = 0.3 m  r = d/2 = 1/2 =0.5 m  L = rθ

Q: 4. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

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Q: On a circle of radius 10 m, how long is an arc that subtends a central angle of (a) 4p>5 radians?…

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Q: (1) To measure the height of a building, a surveyor sets up his transit at a distance of 112.2 feet…

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Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

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Q: 15) The angle of elevation from ground level to the top of a building is 62°. If the observer is…

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Q: 19. How far from the wall of a building is the base of a 30 ft. ladder which makes an angle of 75°…

A: Given that length of the ladder is 30 ft. which makes an angle of 75° with the ground. We have to…

Q: 1. How long is the ladder which makes an angle of 300 with the side of the house and whose foot is…

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Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: 1. In order to measure the height of the ride Chaos at ValleyFair, Matt stands 25 m from the bottom…

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Q: 4. A truck driver estimates that a country road rises 40 cm every 6 m along the road. What is the…

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Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees is_____?…

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Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Please follow the next step.

Q: A ladder 5 m long leans against a building. If the angle between the ground and the ladder is 57…

A: Given: according to given data figure will be Where; AC is length of ladder, BC is distance between…

Q: On a circle of radius 8 feet, give the degree measure of the angle that would subtend an arc of…

A: We have to find angle subtended by arc length.

Q: 2. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top…

A: #2  Find the length of the flagpole

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given,1-meter diameter wheel is rolling forward, 30 cm over level ground.To find an angle for which…

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: 2) As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is 125…

A: This question is related to Trigonometry, we will we will solve it using given information.

Q: 14. What is the angle of elevation, to the nearest tenth of a degree, to the top of a 35-foot…

A: tanθ=PB P is perpendicular and B is base of right angle triangle.

Q: 1) From the top of a coconut tree is 20m tall. A dog is spotted at an angle of depression of 15°.…

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Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: On a circle of radius 10 m, how long is an arc that subtends a cen-tral angle of (a) 4pai/5 radians?…

A: (a)Consider the circle of radius 10 m. and central angle subtended by arc on circle is 4π/5 radians.

Q: A house is 500 feet high. At a certain distance away from the house, an observer determines that the…

A: Given that, A house is 500 feet high. At a certain distance away from the house, an observer…

Q: 1. A 20-foot ladder leans against a wall so tha the base of the ladder is 8 feet from the base of…

A: Given :- Length of ladder=20 ftBase of ladder is 8 ft from the base of building .We have to find…

Q: 2. A wire of length 200 feet is attached from the ground to the top of a telephone pole. If the…

A: Draw the figure

Q: on a circle of radius 13km how long is an arc that subtends a central angle of (a) 6pi/7 radians?…

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Q: 19. How far from the wall of a building ia the base of a 35 ft. ladder which makes an angle of 70°…

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Q: 1. The angle of elevation to the top of the Empire State Building in New York is found to be 11°…

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Q: 6. From the top of Mt. Banahaw 135m high, it is observed that the angle of depression of a ship is…

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Q: Two guy wires from the top of a 35-ft tent pole are anchored to the ground below by two stakes so…

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Q: From the top of a coconut tree that is 20 meters tall, a dog is spotted at an angle of depression of…

A: According to the given information the figure is, Height of a coconut tree = BC = 20 m Distance…

Q: 1. A 75-feet extension ladder rests on top of a hook and ladder truck with its base 11 feet from the…

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Q: 4. The angle of depression from the top of the castle to the boat is 25°. If the boat is 350 meter…

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

Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 13. Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

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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.