A communication tower is located at the top of a steephill, as shown. The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the tower and to the ground, 100m downhill from the base of the tower. The angle in the figure is determined to be 12°. Find the length of the cable required for the guy wire.

Q: The angle of elevation of a pedestrian crosswalk over a busy highway is 9.34°​,as shown in the…

A: The solution is:

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

A:

Q: A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof.…

A: We are given that a boy is 1.5 m tall standing 12 m away from a church building that has a tower on…

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A:

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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 a test flight, during the landing of the space shuttle, the ship was 366 ft above the end of the…

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Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

Q: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

A:

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

A:

Q: A kite is flying at an angle of elevation of 67° with the ground. If 100 ft of string have been paid…

A: Since, it is given that a kite is flying at an angle of elevation of 67° withthe ground.∠B=67°Since,…

Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

A:

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

A:

Q: An eagle spotted a mouse 20 feet below at an angle of 42 degrees with the horizon. If the eagle…

A: From the given problem, The mouse is 20 feet below the horizon, sp EM = 20 feet The angle of…

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

A:

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

A:

Q: Assuming that a 370 foot tall giant redwood grows vertically, if i walk a certain distance from the…

A: According to Given problem

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A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A:

Q: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

Q: Find the angle between v and w to the nearest degree.

A: SOLUTION-

Q: A 16 foot ladder leaning against a wall of a house makes a 50 degree angle with the ground. How far…

A: We can find the answer as below

Q: From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top of…

A: Draw a schematic diagram of given figure.

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Given: A 19-ft ladder leans against a building so that the angle between the ground and the ladder…

Q: The proper angle for a ladder is about 75 from the ground. Suppose you have a 15 foot ladder. How…

A: we have a 15 foot ladder which is attached to a wall at a angle of 75°

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

A:

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

A:

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A:

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

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: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

A:

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: A 3000-lb car traveling uphill has a grade resistance of 150 lb. Find the angle of the grade to the…

A: Given: A 3000-lb car traveling uphill has a grade resistance of 150 lb.

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

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A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: Assuming that a 400-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Given height of redwood tree=400 foot Angle of elevation to the top of the tree=53°

Q: player is

A:

Q: The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

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Q: a hot air balloon at a 35° angle of elevation. 7) Lee, on the ground, looks up at Bruce If lee and…

A:

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

A:

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23degree. How…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

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: 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: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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.