A short-wave radio antenna is supported by two guy wires, 120 ft and 165 ft long. Each wire is attached to the top of the antenna and anchored to the ground at two anchor points on opposite sides of the antenna. The shorter wire makes an angle of 67° with the ground. How far apart are the anchor points? Round da answer to nearest foot

Q: A radio tower is located 275 ft from a building. from a window in the building, a person determines…

A:

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: A 14-ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: The angle of elevation from a point A on the ground to the top of a space shuttle is 27°. If point A…

A: It is given that the angle of elevation of the space shuttle from point A is 27°. The distance from…

Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far…

A:

Q: A is located 250 ft from a building. From a window in the building, a person determines that 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: 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: 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: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

A:

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A: Given that We have to evaluate the angle formed by two cables

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

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: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: The figure is given by To evaluate : The distance between house A and house B i.e., length AB

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: From a 200 foot tower on the shore a man sees a ship at sea. If the angle of depression from the man…

A:

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: Given: A surveyor measures angle  ACB, which is found to be 50°, and then walks off the distance of…

Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

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

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is…

A:

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: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

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: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

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

A:

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: A 500-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: Given a 500 ft -guy wire is attached to the to a communications towerand makes an angle 65° with the…

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 29°. How far…

A:

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

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

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

A:

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: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

A: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

Q: A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 24o 10'…

A: Given:A 35-foot ladder is leaning against the side of a building and it makes an angle of 24 degree…

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

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

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

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

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far…

A:

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

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

A:

Q: 90 ft 5. A weight is supported by cables attached to both ends of a balance beam, as shown in the…

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

A:

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

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.