A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 22° and 57° (see figure). How far apart are the towns?

Q: Julia lies down on the grass in a park and begins reading a book. She is 30 meters away from the…

A: let AB be the TreeThen tan 35°=ABBCtan 35°=AB30

Q: 3. A man whose eyes are 1.5m above his sole stands on a 45-meter high building. The angle of…

A:

Q: A carpenter is preparing to put a roof on a garage that is 20 feet by 40 feet by 20 feet. A steel…

A:

Q: please help

A: Here we have to find the pitch of the roof,   The length of the base of the roof is 10 ft

Q: Jerry stands at a distance from the base of a 30 foot flagpole and views its top at an angle of 42°.…

A: Topic:- trigonometry in right angle triangle  Note:- as per our guideline if more than one question…

Q: A helicopter is flying at an altitude of 338 meters, at an angle of depression of 27° to its landing…

A: Angle of elevation from helicopter to the landing pad is 27⁰. Helicopter is flying at an altitude of…

Q: A hot-air balloon is 7800 feet above a highway intersection. The distance from the intersection to…

A:

Q: An aircraft (at C) is spotted by two observers (at A and B) .o are L=1700 feet apart. As the…

A: Given,           An aircraft at C is spotted by two observersat A and B who are L=1700 feet…

Q: From a hotel a window 30 meters above the ground, allan finds that the angle of elevation of the top…

A: We have to draw a diagram according to the question and then we have to find the unknown sides of…

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

A:

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

A: Distance of satellite from station A and height of the satellite above the ground is

Q: A surveyor wishes to determine the width of a pond. From a point A at one end of the pond, he marks…

A: According to the given problem BC is the width of the pond .

Q: A new homeowner has a triangular-shaped back yard. Two of the three sides measure 65 ft and 80 ft…

A:

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

Q: From a point on the ground 43m away from a tree, the angle of elevation is 30 degrees. How tall is…

A:

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: 10 foot ladder is resting against the wall. The ladder touches the ground 7 feet away from the wall.…

A:

Q: 6. Shakkar, Nic, and Harry are camping in their tents. If the distance between Shakkar and Nic is…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A:

Q: Similar to an angle of elevation, an angle of depression is the acute angle formed by a horizontal…

A:

Q: A man 5 ft 9 in. tall stands on a sidewalk that slopes down at a constant angle. A vertical street…

A: First we find angle Then use sine law

Q: The ramp of a moving truck touches the ground 14 feet away from the end of the truck. If the ramp…

A: Consider the given information: Ramp touches 14 feet away from end of truck. angle made by ramp…

Q: 6.] From the top of a lighthouse 250 feet above the sea level, you observe a boat 298 feet away from…

A:

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: A short-wave radio antenna is supported by two guy wires, 120 ft and 135 ft long. Each wire is…

A: cosine = adjacent / hypotenuse  Sine = opposite / hypotenuse

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

A:

Q: Cleo is looking at an airplane flying at an altitude of 3 miles. Her angle of elevation is 37…

A: The explanation of answer as follows

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

A:

Q: A ranger is at the top of a 200 foot lookout tower located on a flat plain. She spots a fire at an…

A:

Q: A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the…

A: A 6-foot-tall woman is standing 21 ft from a statue. She must look up at an angle of 45° to see the…

Q: From the top of a 267 foot lighthouse a plane excited overhead and a ship is observed directly below…

A: Rounding to the nearest foot the Answer will be 276 ft

Q: ramp has a height of 5.8 feet and an angle of 80°.  A sketch of the ramp is shown.   What is the…

A:

Q: An aircraft (at C) is spotted by two observers (at A and B) who are L=2000 feet apart. As the…

A: Apply tangent trigonometric function for angle B in the triangle BCD, tanβ=CDBDtan350=hBDBD=htan350…

Q: A tower 125 ft. high is on a cliff on the bank of a river. From the top of the tower the angle of…

A: Given that: Height of the tower = 125 ft From the top of the tower the angle of depression of a…

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

A:

Q: Two cruiser warships the Arizona and Baltimore are trying to find the position of an enemy…

A: according to question USS Arizona is at B and USS Baltimore is at A…

Q: A short-wave radio antenna is supported by two guy wires, 150 ft and 165 ft long. Each wire is…

A:

Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 89 feet long is…

A: Here, height of pole can be taken as base and length of the wire can be taken as the hypotenuse for…

Q: King Kong is hanging from the top of a vertical building. From a safe distance Sherman, standing on…

A: given that                                                 there are two right angled triangles BDF…

Q: A boat is tied to the dock with a 25-foot rope. When the rope is pulled tight, the boat is 18 feet…

A:

Q: From a hotel window 40 meters above the ground, James finds that the angle of elevation of the top…

A:

Q: 4. Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top.…

A: Given:

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

A:

Q: picture of a 4 feet vase standing on a 3 feet pedestal. She wants to position the camera at point c…

A: To find the distance between camera and foot of pedestal.

Q: A radio tower is located 450 feet from a building. From a window in the building, a person…

A:

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

A: Draw a schematic diagram of given figure.

Q: From her elevated observation post 300 ft away, a naturalist spots a troop of baboons high up in a…

A: Given: From her elevated observation post 300 ft away, a naturalist spots a troop of baboons high up…

Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 81 feet long is…

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.