How far apart are the two fires

Q: In tracking the relative location of two aircraft, a controller determines that the distance from…

A:

Q: 3. A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36° and…

A: From Given,

Q: A ship's captain notes that a second ship is 14.5 km away at an angle of 45° N of E and a third ship…

A: Here, we are going to solve only one question and for the remaining question please post the…

Q: 3) An airplane is sighted at the same time by two ground observers who are 5 miles apart 3 and both…

A: Consider the larger base is x miles to the west of a point down the plane and the observer is 5…

Q: 1. Anthony wished to find the width of a river. He observed a tree directly across the river on the…

A:

Q: From the top of a cliff 150 feet high, the angle of depression of ship A is 20° and that of ship B…

A:

Q: 4. A four-meter ladder leans against a wall. If the foot of the ladder makes an angle of 70° with…

A:

Q: 2. A surveyor uses a transit instrument that is 1.4 m off of the ground to measure the height of a…

A:

Q: 4. Two friends on the same side of a 10-foot fence measure the angle of elevation to the top of the…

A:

Q: D. The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: It is known that the angle of elevation is the angle formed when a person looks up at a tall object…

Q: Three battery factories A, B, C. If their total production in 2020 is 30,000 batteries and the…

A: Given : Three battery factories A, B, C. If their total production in 2020 is 30,000 batteries  In…

Q: 2) A hiker decides to go for a walk in the woods. She walks 3 miles south of the cabin, then turns…

A:

Q: _13. A person in an apartment building sights the top and bottom of an office building 500 ft. away.…

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Q: 2. A girl 1.75m tall, standing on the roof of BHS principal's office, sees a car some distance away.…

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

Q: 4. A man whose eye is 1.5 m. above his sole stands on a 48.5 m. high building. The angle of…

A: The height of the man is 1.5 m and he is standing on a building whose height is 48.5 m. So, the…

Q: 3. In a triangle ABC, find the side c if angle C=100o, side b=20 and side a=15. 4. A man standing 9m…

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

Q: 31. The angle of elevation from the control tower to an airplane is 49°. The airplane is flying at…

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Q: 13. From the top of her apartment building, Simone estimates that the angle of elevation to the top…

A:

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 210…

A: It is given that the length of the string is 210 feet  and angle of the string with the ground is…

Q: If the distance e from a point directly below the plane in the picture to a radar station is 125…

A: Solution: The objective is to find the distance from the plane to the ground

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: 4. A tree on a hillside casts a shadow 215 feet down the hillL. If the angle of inclination of the…

A:

Q: 1. A tower 140 ft high stands on the water edge of a lake. From the top of the tower, the angle of…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 2.) A ship at sea is 80 miles from one radio transmitter and 145 miles from another. The angle…

A: The given problem is solved below in detail.

Q: .When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: The direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a shadow…

Q: 7. At a considerable distance away from the base of a cliff, a surveyor founds the angle of…

A:

Q: 2. A television tower is mounted on the top of a building. The angle of elevation of the foot of the…

A: We have to use the application of trigonometry

Q: 2.) A boat is 100 feet from shore. If the angle from the captain to the top of the lighthouse is…

A:

Q: 2. A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

A: Given:  A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

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

A:

Q: 1. The angle of elevation from point A to the top of a hill is 49°. If point A is 400 feet from the…

A: Given the angle of elevation from point A to the top of a hill is 49o. The point A is 400 feet from…

Q: 2)Chaeli lives 1.7 km away from the library and 3.1 km away from the high school. The angle between…

A: Solution of given question is written in below steps.

Q: A support cable runs from the top of a telephone pole to a point on the ground 42.7 feet from its…

A: Consider the figure

Q: 1. Rana is at the top of a cliff and sees a seal in the water. If the cliff is 40 m above the water…

A:

Q: John is surveying a lake where he observed three points (point A, point B, and point C). He found…

A: Given, AB= 250 ft A= 40° B= 112° We know that total angle in a triangle is 180° Therefore, A+B+C=…

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: 11) Meryl is standing 100.5 feet from the Eiffel Tower and sees a bird land on the top of the tower.…

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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: An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the…

A: I am going to solve the given problem by using some simple trigonometry to get the required result…

Q: 13. The path from Crossley to Snow House is 600m long. The path from Crossley to Wallace is 40m. If…

A: Given that:                   Distance between Crossley to Snow House, a = 600mDistance between…

Q: 5. Solve the following triangle for all missing sides and angle: AABC given that <A=85', <B=32° and…

A: We will use the "sine rule" in triangle ABC to find the missing sides.

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

A:

Q: The angle of elevation from a point on the ground to the top of a pyramid is 35.5°. The angle of…

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Q: A surveyor has taken the measurements to opposites side of a lake one side is 724 feet the distance…

A:

Q: (a) If you walk three city blocks east and then four blocks north, how many blocks are you from your…

A: Consider the directions we get Magnitude of the resultant is  r=x2+y2 where x is the x component…

Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: Two airplanes leave an airport., and the angle between their flight paths is 40 degrees. An hour…

A: Given query is to find the distance between the airplane after 1 hour.

Q: 1. Stephanie knows that when she stands 123 feet from the base of the flagpole the angle of…

A:

Q: The measure of an angle in standard position is given. Find two positive angles and two negative…

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.