A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74 degrees. How high does the ladder reach on the building? (Round your answer to the nearest foot.)

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 75°.…

A: We use application of trigonometry.

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

A:

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 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

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

A:

Q: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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 18-ft ladder leans against a building so that the angle between the ground and the ladder is 81°,…

A: Solution:- The given questions are...   a)  b)

Q: A 5-meter-long ladder, learning against a vertical wall makes an angle of 65 degree ground. How…

A: Given, Ladder length=5 meters leaning against a vertical wall makes an angle of 65 degrees on the…

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: A ladder is leaning against the top of a building. If the ladder is 12.5 m long and 3m from the base…

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 short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

A: Refer to the question, the sketch can be formed  from the given information as,

Q: A ladder is leaning against the side of a building. If the ladder forms an angle of 60∘ with the…

A:

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: what is the angle of elevation of the ladder?  how high does the ladder reach the building ?

A:

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

A:

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

A:

Q: From the top of a 190-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Given that height of lighthouse is 190 ft. And depression angle is 21°. And we find that how far is…

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 ladder that is 20ft long is leaning against the side of a building. If the angle formed between…

A: A ladder that is 20 ft. long is leaning against the side of a building and the angle formed between…

Q: 3. A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of…

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: An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the…

A:

Q: From the top of a lighthouse 45 meters above sea level, a swimmer is observed swimming with angle of…

A: The diagram for given situation will be    whre AB=45m hieght of light houseC, position of…

Q: A 17 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A:

Q: A 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft. from the base of…

A:

Q: A 12-ft-long ladder is leaning against a wall and makes an 80° angle with the ground. How high up…

A: first of all we draw the diagram for given situation,

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: At a point 600 feet away from the base of a building, the angle of elevation to the top of the…

A: distance between the point and the base of the building is 600 m  angle of elevation to the top of…

Q: The angle of depression from the top of a building, 212 meters tall, to a point on the ground is…

A: 2.1

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: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

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

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A:

Q: A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of…

A: Given Data: The length of the ladder is: l=9.0 m The distance between the bottom of the ladder and…

Q: A 18 ft ladder is leaning against a building so that the angle between the side of the building and…

A:

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: A latter 13 ft long leans against the side of a building and the angle between the ladder and the…

A:

Q: A submarine that has sunken to the ocean floor is being pulled up by two large freight ships on the…

A:

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

A:

Q: A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

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

A:

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: what is the angle of elevation of the ladder? how high does the ladder reach on the building?

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.