The angle of depression from the top of a cruise ship to the top of a sailboat is 22°. Sitting above water, the cruise ship is 236 feet tall while the sailboat is 27 feet tall. Find the distance between the cruise ship and the sailboat.

Q: ground

A: In a right angled triangle:- Tan X = Perpendicular/Base

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A:

Q: a 22-foot ladder leaning against a building makes a 70-degree angle with the ground. how far up the…

A:

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A:

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

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

A:

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

A:

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

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: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation from a ship to the…

A:

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

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: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A:

Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

A:

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: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

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

A:

Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

A:

Q: The angle of elevation to the top of a building from a point on the ground 30 yards from its base is…

A: We have to find the height of the building if angle of elevation from the top of building to the…

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

A:

Q: The angle of depression of a submarine from another ship is 28°. The submarine is 791 ft from the…

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of…

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

A:

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

Q: A football lands at the edge of the roof of your school building. When you are 25 feet from the base…

A:

Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

Q: The angle of elevation from the top of a 95 foot tall building to a hot alr balloon in the sky is…

A: According to trigonometric ratios, .

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

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 standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: The angle of elevation to the top of Wayne Tower in Gotham City is found to be 14° from the ground…

A:

Q: The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff…

A: The given image is

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

A:

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: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of…

A:

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

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

A:

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

Q: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

A: The angles and the sides of a right triangle are related by using trigonometric functions.…

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 lighthouse keeper is in the top of a lighthouse 95 feet above sea level. She notes that the angle…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=95 BC=x C=6

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.