a car is traveling on a road that goes up a hill. the hill has an angle of 17° relative to horizontal. how high up the hill vertically will the car be after it has traveled 100 yards up the road.

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 passenger lift runs 680 ft up the side of a mountain from the base to an exit station. If the…

A:

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

A:

Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

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: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

A:

Q: An observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

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

A:

Q: A lighthouse is 20 feet tall, and a boat is 50 feet from the base of the lighthouse. What is the…

A:

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: for the upper triangle, use the tan function  tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

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

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

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

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: A hawk is sitting on top of a tree that is 15 ft. high. It is watching a rabbit that is 18ft. from…

A:

Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

A:

Q: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

A:

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

A:

Q: You are in a tall building and from your window you notice a window washer working on the building…

A:

Q: An eagle spotted a mouse 20 feet below at an angle of 42 degrees with the horizon. If the eagle…

A: From the given problem, The mouse is 20 feet below the horizon, sp EM = 20 feet The angle of…

Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

A:

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

A: As shown in the figure,A and B are the stations, and D is the satellite.Distance between two…

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

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A 25-foot ladder leans up against a house at an angle of 65°. How high up on the house does the…

A:

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

A:

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is…

A:

Q: A fireman leaned a 36-foot ladder against a building.  If he placed the ladder 7 feet from the base…

A: To find the angle between ladder and ground

Q: From a point on level ground 30 yards from the base of a building, the angle of elevation is 38.7°.…

A:

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

A: SOLUTION-

Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

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

A: Let the distance between the monument and the hotel window be x. Then we get,…

Q: A man is standing on the ground, looking at the top of an 80-ft building. The angle of elevation is…

A:

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

A:

Q: A 300-foot tall monument is located in the distance. From a window in a building, a person…

A:

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 monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

A:

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: The angle of depression from a helicopter to a landing pad is 65 degrees. If the horizontal distance…

A: Given that  The angle of depression from a helicopter to a landing pad is 65 degrees horizontal…

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

Q: The angle of elevation to the top of a building is 38 . From a point 440 ft. farther away the angle…

A:

Q: A car is traveling on a road that goes up a hill. The hill has an angle of 17° relative to…

A:

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

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: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: The angle of elevation from a fishing boat to the top of a lighthouse is 5°. If the top of the…

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

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.