An escalator lifts people to the second floor of a building, 30 ft above the first floor. The escalator rises at a 30° angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator? 30 ft 30 A person travels

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A:

Q: A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff…

A:

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

A:

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

A:

Q: The angle of elevation to the top of a Building in New York is found to be 10 degrees from the…

A:

Q: A backyard slide is designed for a child's playground. If the top of the 14-ft slide makes an angle…

A: We know that trigonometric ratios :  sin ( theta ) = perpendicular / hypotenuse

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: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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

Q: A backyard slide is designed for a child's playground. If the top of the 15-ft slide makes an angle…

A:

Q: At a point 200 ft from the base of a cliff, Journey sees the top of the cliff through an angle of…

A: The base of the right-angled triangle is 200 ft. The angle made by the top of the cliff from the…

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A: This problem can be set up as a right triangle where the tall  side ( height of the building) is an…

Q: The angle of elevation from a boat to the top of a lighthouse is 50°. If the boat is 150 feet from…

A:

Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 78 feet long is…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A: Given information can be depicted in the following figure:

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: An escalator lifts people to the second floor of a building, 25 ft above the first floor. The…

A: according to question, an escalator lifts people to the second floor of a building 25 ft above the…

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: Given: A radio tower is located 400 feet from a building. From a window in the building, a person…

Q: The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground…

A: tan theta=height/base tan 4=height/2 height= 2tan 4            = 0.14miles            =.14*5280…

Q: From the top of a fire tower a forest ranger sees his partner on the ground at an angle of…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 11 degrees from the…

A:

Q: A radio tower is located 250 feet from a building. From a window in the building, a person…

A: Topic:- trigonometry in right angle triangle

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: A person looks up from the ground at an angle of 73o to a person on the top of the Eiffel Tower. The…

A:

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Given angle of elevation of woman to see the top of building from ground floor = 55°. She rides…

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 18 foot…

A: Suppose AC be the height of the ladder and BC be the distance of the base of the ladder from the…

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A: Solve for the height of the tower

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

A: ∴Height of tower is x+yAM=425 ftIn ∆ADM ;tan40°=x425x=425 x tan 40°∴x=356.617 ft

Q: An escalator lifts people to the second floor of a building, 30 ft above the first floor. The…

A: Soln          Sin30 = 30x         I2 = 30x          x = 30×2          x = 60 ftso The person travel…

Q: A pine tree is located 150 ft from a person on the balcony of a house. From the balcony, an observer…

A: Given: A pine tree is located 150 ft from a person on the balcony of a house. From the balcony, an…

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

A:

Q: A hot-air balloon is flying at an altitude of 2540 feet. If the angle of depression from the pilot…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

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: An escalator lifts people to the second floor of a building, 22 ft above the first floor. The…

A: Given :  Hight from 1st floor to 2nd floor = 22 ft  let Length of escalator = x ft  angle of…

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Let 'x' be the length of the building from three floors The full length of the building across the…

Q: A ladder leaning against the wall makes an angle of 74 with the ground. If the foot of the ladder is…

A: Since, a ladder is leaning against the waall making an angle of 74° withthe ground.Alos, we have…

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

A: Given:                         To determine:                           Value of AC:=?

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Given  Angle of elevation from ground floor to top of the building = 49° Angle of elevation from…

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

A:

Q: The angle of elevation to the top of a Building in New York is found to be 7 degrees from the ground…

A: Refer to the figure shown below:

Q: A hot-air balloon is flying at an altitude of 2975 feet. If the angle of depression from the pilot…

A:

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A:

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 170-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How far…

A: Given Light house hieght = 170 ft Angle of depression = 27°

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 8 degrees from the ground…

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.