The newest YMCA downtown is giving free swimming lessons to anyone wanting to join Western’s swim team. While in the pool, Hyat spots a piece of gold jewelry at the bottom of the pool. The pool is ten feet deep, and the angle between the top of the water and the coin is 15°. How far away is the gold jewelry from her along the bottom of the pool?

Q: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

A:

Q: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

Q: Dale looks up to see his friend Lisa waving from her apartment window 30 ft from him. If Dale is…

A: Given that: Dale looks up to see his friend Lisa waving from her apartment windows 30 feet from him…

Q: A dog looks up at a cat who has climbed a 29 foot tree. If the dog is 59 feet from the base of the…

A: The relation between the angles of a triangle and the sides of the triangle is given by the…

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

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

Q: Dale looks up to see his friend Lisa waving from her apartment window 30 ft from him. If Dale is…

A:

Q: Justin spots a tree directly across the river from where he is standing. He then walks 27 ft…

A:

Q: On a test flight, during the landing of the space shuttle, the ship was 366 ft above the end of the…

A:

Q: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° with the ground.…

A: It is given that the ladder is of length 26 foot and the angle form between the ladder and ground is…

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

A:

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: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

A:

Q: Upon approaching a house, Mary hears Lynn shout to her. Mary, who is standing 10 ft from the house,…

A:

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

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

A:

Q: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

A:

Q: A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be…

A: From the given problem the representative diagram is as shown below.

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

A:

Q: D Listen During her shift, a pilot flies from Columbus to Atlanta, a distance of 448 miles, and then…

A: To find out the angle from phoenix airport to the cities of atlanta and columbus

Q: The top of an 8-foot ladder leans against a wall at a height of 7 feet. What angle (degrees) does…

A: Length of the ladder is 8 foot and length of the wall is 7 feet. We have to find the angle between…

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A:

Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: simon is due north of a tall totem pole and walks 75m, 40° west of south. From his new position, the…

A:

Q: Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

A: Given, Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft…

Q: A telephone company is building a 30-foot antenna to carry cell phone transmissions. As shown in the…

A:

Q: at the same basketball game during halftime, the home team's mascot has a t-shirt launcher in which…

A:

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

A:

Q: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

Q: Find the angle between v and w to the nearest degree.

A: SOLUTION-

Q: A plane departs from Brisbane and travels 1320km on a bearing of 133 degrees where it lands in…

A: to determine the required distances based on the given data

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: A mop is inclined against the wall, creating a 40 degree angle, along the floor. How far does the…

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: An airship is flying at an altitude of 800 m when it spots a village in the distance with a…

A: Consider the diagram given below, Point A is the location of the plane at that instant, point C is…

Q: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

A: A player takes a shot 22 ft. away from the base of the goal but the puck hits the top of the goal…

Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

A:

Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

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

A:

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: A 3000-lb car traveling uphill has a grade resistance of 150 lb. Find the angle of the grade to the…

A: Given: A 3000-lb car traveling uphill has a grade resistance of 150 lb.

Q: Alexander is looking up at a 43-foot tall building at an angle of elevation of 28°. If his eyes are…

A:

Q: The roof is 32.0 ft wide. If the rafters are 18.0 ft long, at what angle will the rafters be laid at…

A:

Q: Janelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground. How…

A: Here AC = length of ladder = 16 foot AB = wall BC = ground m∠ACB = 61° We have to find the length of…

Q: a hot air balloon at a 35° angle of elevation. 7) Lee, on the ground, looks up at Bruce If lee and…

A:

Q: A submarine that has sunken to the ocean floor is being pulled up by two large freight ships on the…

A:

Q: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and…

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

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.