I am standing 50 feet away from the flagpole outside of Southmith High School. I look up to the top of the flagpole at a 60 degree angle. How tall is the flagpole?

Q: Bill is sitting in a movie theater, 8 meters from the screen. The angle of elevation from his line…

A:

Q: DIVING Austin is standing on the high dive at the local pool. Two of his friends are in the water as…

A: Using trigonometric ratio

Q: Marla needs to find the height of a building. From a given point on the ground, she finds that the…

A: Geometrical representation of the problem: We need to find the value of h.

Q: 22. An airplane approaches the runway at an 18 degree angle. If the airplane is 1000 ft away from…

A: Given query is to find the height of the height of the plane.

Q: You are flying a kite outside on a windy day. You have 80 foot string and are flying your kite at an…

A: SOLUTION-

Q: maker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long,…

A: This question is based on law of cosines.

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Kurt spots a bird sitting it the top of a 40ft   tall telephone pole.…

Q: Amal is painting the main street of a model town. The street is 24 inches long by 1.5 inches wide,…

A: Firstly we have to trace the path of the town.

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

A:

Q: surveyor standing 57 meters from the base of a building measures the angle to the top of the…

A: distance between surveyor  and building is 57 meter angle with building top = 38 angle with top of…

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

Q: University of Louisville is currently winning the football game against the University of Kentucky.…

A:

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A:

Q: Geometry The height of a right circular cone is 35.8 centimeters. If the diameter ofthe base is 20.5…

A: Given the height of a right circular cone(h) is 35.8 cm The diameter kf the base(d) is 20.5 cm =>…

Q: Mariah and Michael are standing below the parols they made for Christmas. From Michael's point of…

A: Draw the diagram using right triangle and use Trigonometric ratios.

Q: 4. You installed a sprinkler in your yard. The sprinkler can spray everything within 4 meters. If…

A:

Q: Charlie is swimming in the ocean and notices a coral reef below her. The angle of depression is 55∘…

A: We will use trigonamentric ratio to find it.

Q: David is looking out of his window at the office building 40 feet away across the street from him.…

A: Given that from a window 40 ft above the street, the angle of elevation to the top of the building…

Q: 4. To estimate the height of a radio tower, Jody steps 25 feet away from the center of the tower's…

A: Formula used-  tanx= perpendicular/ base  tan(90-x) = cotx

Q: Sarah measured her height and she was 4.5 feet tall. Sarah measured her shadow and it was 9 feet…

A: Given, Height of Sarah = 4.5 feet  Shadow of Sarah = 9 feet  Shadow of tree = 90 feet  We have to…

Q: Shot put In Moscow in 1987, Natalya Lisouskaya set a women’s world record by putting an 8 lb 13 oz…

A: Given,  Natalya Lisouskaya set a women’s world record by putting an 8 lb 13 oz shot 73 ft 10 in.…

Q: A flagpole 95.6 ft tall is on the top of a building. From a point on level ground, the angle of…

A:

Q: Euclid was interested in a formm of math that studied lines, angles, and shapes. What math did he…

A: Euclid studied GEOMETRY

Q: 39. Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the…

A: Let the angle for elevation for Vera be x deg.AB is the height of the pole.D is the point where Alex…

Q: Mariah and Michael are standing below the parols they made for Christmas. From Michael's point of…

A:

Q: Kaila is flying a Kite whose string is making a 70 degree angle with the ground the kite string is…

A: There are 2 probable positions of Kaila .

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: Consider the given: ∠A=46°30'=46+3060=46.5°∠D=41°10'=41+1060=41.17°

Q: 990 d A boy visiting New york city views the A Empire State building from a pointo on the ground, A,…

A:

Q: ARCHITECTURE In an A-Frame house, the roof extends to the ground level. If each side of the roof…

A: In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the…

Q: Shahida has seen an eagle landing at the top of the tree in her backyard. Sheplaces a camera on a…

A:

Q: 4. Gill wants to reach a movie commercial from a building, 60 feet above the street. If Gill has a…

A: We can solve the given problem by using the trigonometric ratios

Q: 11. Reed is trying to find the height of a building. From one position the angle of elevation from…

A:

Q: “a person standing on the level ground is 2,000 feet away from the foot of a 420-foot-tall…

A: As given construction form a right triangle with two of its side lengths are given so use the…

Q: Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a…

A: It is given that

Q: Josh is sitting in a movie theater, 5 meters from the screen. The angle of elevation from his line…

A:

Q: A flagpole 94.9 ft tall is on the top of a building. From a point on level​ ground, the angle of…

A:

Q: 5. Looking up at an apartment complex, the angle of elevation to the top of the building is 78°. The…

A: We can draw this problem as: We have given ∠BCD=56° and ∠ACB=78°

Q: Chris waters her lawn with a sprinkler that sprays water in a circular pattern at a distance of 18…

A:

Q: A surveyor standing 69 meters from the base of a building measures the angle to the top of the…

A: see below the answer

Q: you are 50 feet from the screen drive in movie. The angle of elevation to the top of the screen is…

A:

Q: Luke is flying a kite and realizes that 400 feet of string are out. The angle of the string with the…

A:

Q: You are standing 50 meters from a tall building. The angle of elevation from your feet to the top of…

A:

Q: 7LA bird is sitting on top of a tree. From a point that is 47 feet away from the tree, the angle of…

A:

Q: Jose looks to the top of the Seattle Space Needle at an angle of 77°. The height of the Space Needle…

A:

Q: Josh is sitting in a movie theater, 13 meters from the screen. The angle of elevation from his line…

A:

Q: You look up at a 55 degree angle to see the top of a building the distance from you to the building…

A:

Q: Shahida has seen an eagle landing at the top of the tree in her backyard. She places a camera on a…

A:

Q: Woman was in kitchen, motion light mounted on wall shined down on her and cast a shadow that was the…

A: We need to find length of women.

Q: You are standing on level ground 800 feet from Mt. Rushmore,looking at the sculpture of Abraham…

A:

Q: Sabri stands 12 feet away from a tree and measures the angle of elevation to the top of the tree to…

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.