A man and a woman standing 3.8 miles apart spot a hot air balloon in the sky between them at the same time. If the angle elevation from the man to the balloon is 25 °, and the angle of elevation from the woman to the balloon is 41°, find the altitude of the balloon to the nearest foot. feet

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: The angle of elevation of a pedestrian crosswalk over a busy highway is 9.34°​,as shown in the…

A: The solution is:

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 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: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

A:

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,takes a…

A: Given: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,…

Q: From the ground 30 feet away from a tree, the angle of elevation to the top of tree is 38˚ Find the…

A: Explanation of the answer is as follows

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

A:

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: a 14 yard rope is strung from the bottom of one tree to the top of another. The angle of elevation…

A:

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a…

A: The given situation is as shown. Now, use the fact that sum of the angle s of the triangle is 180°.…

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

A:

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

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: 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: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: The angle of elevation from an observer to thetop of a building is 35°. If the observer is 155…

A: To height of the building is calculated by measuring the distance from the object and the…

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: From a point on the ground 43m away from a tree, the angle of elevation is 30 degrees. How tall is…

A:

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We have given angle of depression= 40°  Tower height= 45 feet  Find distance of partner from the…

Q: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

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: 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: 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: The angle of depression of a stone on the ground from the top of a tower is 45. If the stone is at a…

A: According to problem   distance from tower and stone is 120 meters angle of depression θ=45°

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 that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: With the sun at a certain altitude, it is noticed that a tower casts a shadow 110 feet long at the…

A:

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: From a point on level ground 120 feet from the base of a tower, the angle of elevation is 48.3°.…

A: Definition used -             trigonometric ratio -             In a right angle triangle -…

Q: Find the height of a tower if the angle of elevation of its top is 68° and when seen from point P on…

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:

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

A:

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

Q: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed…

A: Given query is to find the distance between the hikers.

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

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.