An observer at Airport A sees a plane 35 miles away. Airport A is 50 miles from Airport B. From Airport A, the plane is at an angle of 285 degree from the north and Airport B is at an angle of 65 degree from the north. Find the distance between the plane and Airport B

Q: a man is standing near a radio station antenna observes that the top of the antenna is 54°. walks 60…

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Q: A man observes that the angle of elevation of the top of a tower from a certain point on level…

A: Given: A man observes that the angle of elevation of the top of a tower from a certain point on…

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: angle of elevation for my point on the ground to the top of the tower is 35° 16 minutes. The angle…

A: Given query is to find the height of the tower.

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: A plane takes off from a runway and travels 50,000ft at a constant angle of incline. The planes…

A: According to the question, the figure will be:   To find: Value of x.

Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom…

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

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Q: From the top of a lighthouse 18m high, the angle of depression to sight a boat is 4°. What is the…

A: Here we have use the concept of trigonometric ratio

Q: n airport is monitoring 2 planes in its air space and measured the distance from each plane to the…

A: An airport is monitoring 2 planes in its air space and measured the distance from each plane to the…

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 ladder, with its foot in the street, makes an angle of 30 with the street when its top rests on a…

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Q: A pine tree growing on a hillside makes a 76°angle with the hill. From a point 83 feet up the​ hill,…

A:

Q: Charlie is swimming in the ocean and notices a coral reef below her. The angle of depression is 55∘…

A: We will use trigonamentric ratio to find it.

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: Dancers on a stage floor follow a choreography as shown in the circle below.  Letters from A to E…

A: Find the measure of angle BED.

Q: The tower is 550 meters high. Suppose a building is erected such that the base of the building is on…

A: Given: The height of the tower is 550m. The angle of elevation from the top of the building to the…

Q: The angle of elevation of the top of tower B from the top of the tower A is 28° and 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: from the top of an apartment building the angle of depression to a car parked on the street below is…

A: By the given information we can construct triangle as below : Given Data : AB=90 feet∠CAD=32°

Q: Sam is framing a closet under a stairway. The stairway is 13ft 3 inch long, and it’s angle of…

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

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

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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 plane rises from take- off and flies at an angle of 8° with the horizontal runway. When it has…

A: Given that a plane rises from take- off and flies at an angle of 8° with the horizontal runway when…

Q: Two dormitories are located on a campus. The (direct) distance between their roofs is 47.2 meters.…

A: We will find the height of each building and the viewing angle as following.…

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: 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: 3. A balloon is sighted from two points on level ground. From point A, the angle of elevation is 16º…

A:

Q: top of the cliff C is observed from A to have a vertical angle of 24 degrees. The observer then…

A: Given query is to find the height of the cliff.

Q: large weather balloon is tethered by two ropes. one rope measures 23 feet and attaches to the…

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

Q: Two tugboats that are a = 130 ft apart pull a barge, as shown. If the length of one cable is b = 218…

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Q: airplane that is currently 13,000 feet above the ground is preparing to make its landing at an…

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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: The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If…

A: Consider that the angle of depression from top of a flag stick to golf ball is 24° and length of…

Q: A flagpole, which is 34 ft high, stands on top of a tower, which is 30 ft high. From a certain point…

A:

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

A:

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

A:

Q: From a point on level ground the angle of elevation of the top of the CN tower is measured and found…

A: use trigonometric identity

Q: Two buildings with different height are at a distance from one another. The height of the taller…

A: Using trigonometry identity

Q: An aeroplane at an altitude of 200 mts observes the angle of depression of opposite points on  the…

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Q: A guy wire to a tower makes a 67° angle with level ground. At a point 39 ft farther from the tower…

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Q: n Texas, the distance from Austin to Brownwood is 141 miles. It is 171 miles from Brownwood to…

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

A:

Q: From the top of a cliff 426 feet high, the angle of depression of a ship is observed to be 18. How…

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.