An observer stands an unknown distance away from a building that is 80 feet tall. Looking up to the top of the building, he notes that the angle of elevation is 52°. Determine the distance from the observer to the top of the building.

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

A:

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

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: A 300 meter cable wire is attached to the top of a tower from the ground. The angle of elevation to…

A:

Q: A person standing 234 feet from the base of a church observed the angle of elevatlon to the church's…

A:

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Given,          The ground to the top of a 45-ft tree from 65 feet away.

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 12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can…

A: Explanation and Solution is given below....

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 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

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

A:

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: what is the angle of elevation of the sun when a 47 ft mast casts a 32 ft shadow

A:

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Given: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132…

Q: The height of a tree is 70 meters. To the nearest degree, what is the angle of elevation of the sun…

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

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: A 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle…

A: Given: -

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

A:

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: an 35 foot ladder leaning against a house makes a 15 degree angle with the ground. How far up the…

A: The building, the ladder, and the ground form a right triangle.   where angle between ladder and…

Q: To estimate the height of a mountain above a level plain, 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 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A: when ladder lean in a wall it behaves as a hypotenuse of a right angled triangle

Q: From the top of a lighthouse 45 meters above sea level, a swimmer is observed swimming with angle of…

A: The diagram for given situation will be    whre AB=45m hieght of light houseC, position of…

Q: What is the angle of elevation of the top of the pole 10m high from an observer who is 10m away from…

A:

Q: A 28-foot long piece of wire is attached to the top of a pole at one end and nailed to the ground at…

A: Wire length = 28 foot Angle = 30°

Q: Suppose the Eiffel Tower is located 1000 feet from a building. From a window in the building, a…

A:

Q: A 24 ft ladder leans against a building so that the angle between the ground and ladder is 85…

A: Given : A 24 ft ladder leans against a building so that the angle between the ground and ladder is…

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

Q: to illuminate the entrance of an apartment building, a night light is mounted on a 6.6 meter tall…

A: Ans-15.376 degree,detailed solution I have uploaded ...hope you will get it...thanks

Q: A ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

A:

Q: A person standing 241 feet from the base of a church observed the angle of elevation to the church's…

A: It is given that, A person standing 241 feet from the base of a church observed the angle of…

Q: during the afternoon, an 18 foot tall tree casts a shadow 25 feet long. What is the approximate…

A:

Q: A guy wire is 13.8 yards long and is attached from the ground to a pole 6.7 yards above the ground.…

A: Given, A guy wire is 13.8 yards long and is attached from the ground to the pole 6.7 yards above the…

Q: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

Q: Find the angle of elevation of the sun when a 20 ft. pole casts a shadow 40 ft. long on level…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=20 feet (height of the…

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: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: A coconut tree is casts a shadow of 20 feet long. The angle of elevation of the sun is 30 degree.…

A:

Q: A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62° .…

A:

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

A:

Q: A tower that is 155 feet tall casts a shadow 163 feet long. Foind the angle of elevation of the sun…

A:

Q: A 73-foot rope from the top of a circus tent pole is anchored to the flat ground 43 feet from the…

A:

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

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.