An airplane is observed to be approaching a point that is at a distance of 15 km from the point of observation and makes an angle of elevation of 55 degree. Find the height of the airplane above the ground. Round to the nearest hundredth of a kilometer.

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

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Q: An observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

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

A:

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,takes a…

A: Given: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,…

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

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: A ranger in a 95 ft tower looks down at an angle of depression of 49 and spots a camper in trouble.…

A:

Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: A building at the foot of a hill is 15.6 m high. Find the height of the hill if the angle of…

A:

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a…

A: The given situation is as shown. Now, use the fact that sum of the angle s of the triangle is 180°.…

Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

A:

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

Q: From a hot air balloon 2,500 feet above the ground, you see a clearing whose angle of depression is…

A: The height is 2,500 feet above the ground. The angle of depression is 25°

Q: A hot-air balloon is flying at an altitude of 2685 feet. If the angle of depression from the pilot…

A:

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: The angle of elevation to the top of a building in Seattle is found to be 2.8 degrees from the…

A: Given that: Angle of elevation  = 2.8°Distance from the base = 1.5 miles

Q: The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground…

A:

Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground…

A: From the given information, Angle of elevation of a Building from ground, θ=50 Distance from the…

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

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: As shown in the figure,A and B are the stations, and D is the satellite.Distance between two…

Q: The angle of depression of a stone on the ground from the top of a tower is 45. If the stone is at a…

A: According to problem   distance from tower and stone is 120 meters angle of depression θ=45°

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:

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

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: The angle of elevation is degrees (to the nearest degree)

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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: 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: The angle of elevation to the top of a Building in New York is found to be 3 degrees from the ground…

A: Consider the below figure

Q: Find the height of a tower if the angle of elevation of its top is 68° and when seen from point P on…

A:

Q: A kite flies at a height of 30 feet when 65 feet of string is out. If the string is in a straight…

A: Given: A kite flies at a height of 30 feet when 65 feet of string is out. The figure gives the clear…

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

A:

Q: A ranger in a 112 ft tower looks down at an angle of depression of 42 and spots a camper in trouble.…

A: We have to find out

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

A:

Q: The angle of elevation to the top of a particular skyscraper in New York is found to be 12° from the…

A:

Q: On a bike ride you come to a hill that has a grade of 5%. To the nearest degree, what is the angle…

A: Slope of the hill = tanƟ = 5% = 5 / 100 = 0.05 where Ɵ is  the angle this hill makes with a…

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

Q: . A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

A:

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: The angle of depression from a helicopter to a landing pad is 65 degrees. If the horizontal distance…

A: Given that  The angle of depression from a helicopter to a landing pad is 65 degrees horizontal…

Q: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation…

A: Given;  Final height is 6 feet. The ramp is the hypotenuse and the elevation is the short leg of a…

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

A:

Q: The angle of elevation to the top of a building is 38 . From a point 440 ft. farther away the angle…

A:

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

Q: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…