Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of a square. (a) The measure of the angle formed by two consecutive radii is°. (b) The measure of the angle between a radius and a side is

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A: From the given information, length of the arc is 11 mm and since the top is 7 mm apart , the radius…

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: 7. Building A is 480 feet tall and Building B is 654 feet tall. If the angle of depression from the…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: 1. A student is viewing a painting in a museum. Standing 6 ft from the painting, the eye level of…

A: Distance between the student and the painting is 6 ft. Eye level of student is 5 ft. above 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: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

A: Solution: The objective is to find the height of the tree

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: Given, To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at…

Q: 3. A 28 ft-long ladder leaning against a wall makes an angle of 70° with the ground Determine the…

A: Length of ladder = 28 ft Angle made by ladder on ground=70 degree Vertical height h=?

Q: To estimate the height of a tree, one person positions himself due south of a tree and the other…

A: C = position of tree A = position of one man in East B = position of one man in North AB = 82 feet…

Q: 1. When the angle of elevation of the sun is 46°, the building casts a horizontal shadow of 60m. How…

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

Q: 3. The angle of elevation of the top of a cellphone tower to a point on the ground is 40 The…

A:

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

Q: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

A:

Q: A student measures the length of the shadow of the Washington Monument to be 620ft. If the Monument…

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: 8. A boat traveled horizontally from the "Pier" at 512 km. and made a turn travelling 426 km. If the…

A:

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 18 feet, what…

A: Given Truck height =4 feet Ramp length=18 feet

Q: observation tower is 75 m high. A support wire attached to the tower 20 m from the top. If the…

A: Given query is to find the length of the wire.

Q: A ladder of length 20 ft is leaning against a wall and reaches 16 feet up the wall. Find the measure…

A:

Q: What is the angle of elevation to the kite if a kite is 40 feet off the ground and the string…

A: Consider the diagram drawn as per the given information, here the objective is to find the angle of…

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

A:

Q: A water tower is located 325ft from a building. From a window on the 10th floor, the angle of…

A: As given in the question distance of water tower is 325 ft from building, the angle of elevation to…

Q: (1) To measure the height of a building, a surveyor sets up his transit at a distance of 112.2 feet…

A:

Q: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 20 feet long,…

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: ladder is leaning against the top of a building. If the ladder is 12.5 m long and 3m from the base…

A:

Q: 1. Find the height of a tree if the angle of elevation of its top changes from 20° to 40° as the…

A:

Q: 3. How far from the door must a ramp begin in order to rise three feet with an 8° angle of…

A: Given that - the door must a ramp begin in order to rise three feet with an 8° angle of elevation.

Q: Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of a…

A: We have to find the measures of the angles formed by two consecutive radii and a radius and a side…

Q: 1. From the top of a cliff 400 feet above sea level, the angle of depression of a boat out to sea is…

A:

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: The angle of elevation is degrees (to the nearest degree)

A:

Q: The shadow of a red-pine tree in Northern Minnesota is 131 feet long when the angle of depression…

A: Given: The red-pine tree AB with its shadow BC = 131 ft. The angle of depression is 31o.

Q: 2.] From a point on a ship's deck 30 feet from the base of the mast, the angle of elevation of the…

A: Given the data :

Q: 1. A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground.…

A:

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

A:

Q: he angle of elevation from a point on the ground to the top of the 225-foot cell phone tower is 65…

A: Given the length of tower is 225 foot which is also perpendicular of triangle  angle is 65 degree…

Q: 1. A 20-foot ladder leans against a wall so tha the base of the ladder is 8 feet from the base of…

A: Given :- Length of ladder=20 ftBase of ladder is 8 ft from the base of building .We have to find…

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

A:

Q: 17. Find the angle of elevation if you are standing 50 ft. away and the building is 425 ft. tall?…

A: From the given figure, Let AB be the distance between you and the building. AB=50 ft BC is the…

Q: 1. At a point on the ground 50 feet from the base of a tree, the angle of elevation to the top of…

A:

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

Q: A 75-ft tall masthead of a tugboat is located 45 ft. away from the bow. If the top of the masthead…

A:

Q: 1. The angle of elevation to the top of the Empire State Building in New York is found to be 11°…

A:

Q: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

Q: From the top of a coconut tree that is 20 meters tall, a dog is spotted at an angle of depression of…

A: According to the given information the figure is, Height of a coconut tree = BC = 20 m Distance…

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

A:

Q: what is the angle of elevation of the ladder? how high does the ladder reach on the building?

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.