A woman is standing x ft from a wall with a billboard nailed on it. The billboard is 15 ft tall, and its base is 6 ft above the eye level of the woman. Find the viewing angle subtended on the eyes of the woman from the base to the top of the billboard.

Q: A mother gazes out a second-floor window at her son playing at the playground. If the mother's eye…

A: The arrangement of mother's eye level, ground level and playground forms a right angles triangle.…

Q: Two airplane leave an airport,and the angle between their flight paths is 40°. An hour later, one…

A: Here we have to find the distance between 2 planes by using law of cosines.

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

A:

Q: A hot air balloon is seen simultaneously by two observers that are 1.75 mi apart on level ground and…

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: A roof truss spans a width of 8.2 m. One piece of the truss is 6.8 m long and set at an angle of…

A:

Q: A man in a balloon observes two points, A and B, on the horizontal plane. The angle of depression is…

A: The sketch of the given problem is shown below, From triangle DAC,

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

A:

Q: Two radar stations 450 feet apart are monitoring the same boat located in between them. From the…

A: A very important application of trigonometry is height and distance problem. It is assumed to be a…

Q: Spider-Man sees an injured bird in on the top of a light post and shoots a 36 m long web to the top…

A: Given Data: The length of the web shoot by spiderman on the top next to the bird is: AS=36 m The…

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 hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A: We sketch the situation roughly C and D are two mile posts. So the distance between them is = 1…

Q: A hawk is sitting on top of a tree that is 15 ft. high. It is watching a rabbit that is 18ft. from…

A:

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

A:

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: As Paula looks up at the top of the monument, she finds that the angle of elevation is 20 degrees.…

A: Given:Degree=20°Monument tall=5 meterstanx=opposite sideadjacent side

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

A: We have to find

Q: A short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

A: Refer to the question, the sketch can be formed  from the given information as,

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: You are in a tall building and from your window you notice a window washer working on the building…

A:

Q: From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of…

A:

Q: The bottom of the doorway to a building is 3.01 ft above the​ ground, and a ramp to the door for the…

A: Here we will find the length of the ramp,

Q: Two towers 120 meters apart are on the same horizontal plane. An observer standing successively at…

A:

Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

Q: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The objective is to find the lengths of first and second guy wire.

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: A bird is flying in the sky when it spots a worm on the ground. If the angle of depression from the…

A:

Q: An observer on the roof of Building A measures a 27° angle of depression between the horizontal and…

A:

Q: Two wires stretch from the top T of a vertical pole to points B and C on the ground, where C is 10 m…

A: Two wires stretch from the top T of a vertical pole to points B and C on the ground, where C is 10…

Q: The height of a radio tower is 350 feet, and the ground on one side of the tower slopes upward at an…

A: We have to solve the given problem.

Q: From a window,30.0 ft above the street, the angle of elevation to the top of a building is 50° and…

A:

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

Q: You are standing 100 ft from an arch that is 68 ft tall. At what angle do you have to look up to see…

A: Topic = Trigonometric ratios

Q: Determine the length of a ladder needed to reach the roof of the building shown below. The building…

A:

Q: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The height of the tower is 750 feet. and ground on one side of the tower slopes upward at an angle…

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

A:

Q: The height of a radio tower is 680 feet, and the ground on one side of the tower slopes upward at an…

A: We have to find the length of wire.

Q: A ladder is leaning against the wall and makes a 60° angle with the ground. The base of the ladder…

A: Let 'a' be the length of ladder and 'b' be the height of the building.Since, it is given that…

Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

A: First we draw a rough sketch from the given information.Let height of the mountain is h.

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

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

Q: From a window 33.0 ft above the​ street, the angle of elevation to the top of the building across…

A:

Q: A house is 500 feet high. At a certain distance away from the house, an observer determines that the…

A: Given that, A house is 500 feet high. At a certain distance away from the house, an observer…

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: Two buildings are 250 ft apart. From the top of the taller building, the angle of depression is 25…

A: I am attaching image so that you understand each and every step.

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: The diagram shows the side of a small shed with vertical walls of equal height and a roof that is…

A: A small shed is formed with two equal vertical walls and its roof is formed by two slanted sections.…

Q: Two fire stations are 15 miles apart. Fire station B has an angle of elevation of 38* to the fire.…

A:

Q: Two goal posts are 8 m apart. A footballer is 34 m from one post and 38 m from the other. Within…

A:

Q: From her elevated observation post 300 ft away, a naturalist spots a troop of baboons high up in a…

A: Given: From her elevated observation post 300 ft away, a naturalist spots a troop of baboons high up…

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.