An aeroplane at an altitude of 200 mts observes the angle of depression of opposite points on  the two banks of a river to be 450 and 600 . Find the width of the rive

Q: The angle of elevation from a point on the ground to the top of a pyramid is 20°20​' The angle of…

A: Let the height of the pyramid be 'h' & the distance from the point where angle of elevationis…

Q: A boy flying a kite is standing 30 m from a point directly under the kite. Is the kite's string is…

A: The given situation can be given in the figure below;

Q: The tower is 700 meters high. Suppose a building is erected such that the base of the building is on…

A: Given that height of tower = 700m. The angle of elevation from the top of the building to the top of…

Q: The angle of elevation of the top of  a tower at a distance of 120 m  froma a point on the ground is…

A:

Q: flag staff 25 feet high stands on the top of a house. From a point on the plane on which the house…

A: Let x be the height of the house In triangle ABC,  angle is 45 degree. So it is an isosceles…

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: Trigonometry is a branch of mathematics that studies relationships between side lengths and angles…

Q: The base of a 175-foot cell phone tower is 42 feet from point A. Determine the measure of the angle…

A: The base of a 175-foot cell phone tower is 42 feet from point A. Determine the measure of the angle…

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: The angle of elevation from a point on the ground to the top of a pyramid is 32°30​'  The angle of…

A: The given information can be represented by the following figure. Let AB be the pyramid with height…

Q: 16. In a national park, the distance between the base of two cliffs is 312 feet. The angle of…

A:

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

Q: A drone is flying over a baseball field, directly between first and second base. The angle of…

A:

Q: A jet is flying at an altitude of 30,000 feet. An air traffic controller measures the angle of…

A:

Q: Spiderman is shooting webs at a lamp post. The first web is 14 meters long hits the to lamp post.…

A: We will use trigonometric Ratio to find the distance.

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

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

Q: The bottom of the ladder is 13 feet from a wall and the top of the ladder touches the wall 8 feet…

A: Form the right triangle from the given situation than use the trigonometric ratio.

Q: A helicopter is flying over the ocean. They determine the angles of depression to two milepost, 10…

A: The angle of depression to two mileposts is 33° and 28° which are 10 miles apart. This can be shown…

Q: A surveyor measured the angle of elevation of a flat spire as 15 degrees from a point on horizontal…

A:

Q: A flagpole 95.6 ft tall is on the top of a building. From a point on level ground, the angle of…

A:

Q: An observer on the top of a cliff 150 m high above the angle of depression of two ships, which are…

A:

Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

A:

Q: From the top and bottom of a 56ft light house, the angle of depression of a ship are 41degrees and…

A: We have to find the height of the lighthouse above sea level.

Q: 2. A weather balloon is located between two weather stations. The angle of elevation from Station B…

A: Given   Distance between two stations is 200 m Angle of elevation from station B 49° Angle of…

Q: A boy visiting New York City views the Empire State building from a point on the ground, A, which is…

A: Explanation and solutions is given below....

Q: The captain of a small boat measures and deteremines that the angle of depression from the top of a…

A:

Q: . From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground…

A:

Q: he wheel on a bicycle has a radius of 27cm.  The angle the wheel turns when the bicycle travels 6…

A: To find: The angle the wheel turns when the bicycle travels 6 kilometers. Given: The radius of the…

Q: A loading ramp is 12 feet long and is placed from the ground level to the top of a loading platform.…

A: Given:- A loading ramp is 12 feet long and is placed from the ground level to the top of a loading…

Q: A fisherman at sea observed that the angle of elevation of a cliff is 18°. What is the distance…

A:

Q: A flagpole 94.4 ft tall is on the top of a building. From a point on level ground, the angle of…

A:

Q: 20. A new homeowner has a triangular shaped backyard. Two of the three sides measure 56 feet and 38…

A:

Q: The two boats 15 nautical miles apart, subtends an angle of 100degrees from a lighthouse 7 naut. mi.…

A: Let d denote distance between the lighthouse and other boat. Thus, using cosine law of triangles:

Q: A cruise missile is traveling straight across the desert at 548 mph at an altitude of 1 mile as…

A:

Q: A flagpole 94.9 ft tall is on the top of a building. From a point on level​ ground, the angle of…

A:

Q: The angle of depression from the top of a cruise ship to the top of a sailboat is 22°. Sitting above…

A: Angle between horizontal line and line of sight, when observer is seeing any object from height is…

Q: Two runners in a marathon determine that the angles of elevation of a news helicopter are 38 degrees…

A: given that angles of elevation of a news helicopter are 38 degrees and 45 degrees. helicopter is…

Q: Read problem, then solve for the missing part(s).

A: Consider the diagram for the triangle.Let side made by trumpet players be T, clarinet players be C…

Q: (WASSCE) A woman looking out from the window of a building at a height of 30 m, observed that the…

A: Given:

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

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

Q: The observation deck of the Skylon Tower in Niagra Falls is 166m above the river. Two boats are in…

A: In this question we will use basic of trigonometry i.e application of tanθ in triangles.  First we…

Q: measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of the…

A: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: Given :-  A communication tower is located at the top of a steep hill. The angle of inclination of…

Q: A flagpole 94.9 ft tall is on the top of a building. From a point on level ground, the angle of…

A: According to the given problem , we haveAngle a is the angle of the elevation of the top of the…

Q: A lighthouse built at sea level is 150 feet high. From its top, the angle of depression of a buoy is…

A: A lighthouse built at sea level is 150 feet high. From its top, the angle of depression of a buoy is…

Q: A weather balloon is directly between two tracking stations A and B. The angle of elevation from…

A:

Q: A surveying team determines the height of the hill by placing a 12-foot pole at the top of the hill…

A: Consider the surveying team determines the height of the hill by placing a 12-foot pole at the top…

Q: You are building a ramp that must cover a horizontal distance of exactly 20 feet. The angle of the…

A: Horizontal distance=20 feet Angle of the ramp from the ground=8 degree

Q: A funicular carries passengers up an embankment to an observation point. If the length of the track…

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.