5. You are measuring the distance across a small lake. You had to set up your transit on one side of the lake 80 feet from a piling that is directly across from a pier on the other side of the lake. From your transit, the angle between the piling and the pier is 30°. What is the distance between the piling and the pier? C=180

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: 3. A man whose eyes are 1.5m above his sole stands on a 45-meter high building. The angle of…

A:

Q: 2. From the top of the control tower 250 m tall, a rock is sighted on the ground below. If the rock…

A: Given, h=250 and l=170.

Q: A surveyor is trying to measure the distance between two points on opposile In order to do so, she…

A: Given Data:  The distance between the edge of the lake (LE2) and the marker is: a=12 ft The distance…

Q: surveyor wants to find the height of an inaccessible cliff so she takes measurements at point A,…

A:

Q: What is the compass bearing of point A from 0? 1.

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 communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

Q: Serena hits a tennis ball downward from the top of the net at which the angle of depression is 20°.…

A: We have to find the distance

Q: A communication tower is located at the top of a steephill, as shown. The angle of inclination of…

A:

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

A: It is known that the angle of elevation is the angle formed when a person looks up at a tall object…

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

Q: 2. A girl 1.75m tall, standing on the roof of BHS principal's office, sees a car some distance away.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 4. A man whose eye is 1.5 m. above his sole stands on a 48.5 m. high building. The angle of…

A: The height of the man is 1.5 m and he is standing on a building whose height is 48.5 m. So, the…

Q: What is the compass bearing of point A from 0?

A: Given

Q: 2. From an angle of depression of 40°, John watches his friend approach his building while standing…

A:

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

A:

Q: 6. From the top of a vertical cliff 40 m high, the angle of depression of an object that is level…

A:

Q: what is the height of the house (opposite side of the triangle)?

A:

Q: 1. Jed is building a roof for his shed. The highest point of the roof will be 3 ft higher than the…

A: The given data can be visualized as follows:

Q: 3. How far from the door must a ramp begin in order to rise three feet with an 8° angle of…

A: Given that - the door must a ramp begin in order to rise three feet with an 8° angle of elevation.

Q: 2.) A boat is 100 feet from shore. If the angle from the captain to the top of the lighthouse is…

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: 1) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 8. From an airplane which is flying at an altitude of 3000 feet, the angle of depression of an…

A: Given that Altitude of an aeroplane is 3000 feet  The angle of depression of an airport ground…

Q: I was in Sydney in 2003 and, while walking across the Sydney Harbour Bridge,  I took this photo of…

A:

Q: 12. At a certain time of day your shadow is 6 feet long. What would be your angle of elevation to…

A:

Q: 35. A Baguio City road is inclined 20 to the horizontal. If a man jogs 500 m along this road, how…

A: We have to solve 35 & 36.This will solved by the help of trigonometric value.

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

A:

Q: 2. Sketch a diagram of any angle in standard position terminating in quadrant II, that has the point…

A: topic - cartesian plane

Q: A man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

Q: 2) As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is 125…

A: This question is related to Trigonometry, we will we will solve it using given information.

Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Two tourists with a surveying tool want to measure the distance from their hotel to the Washington…

A: Concept: Sine law: The law of sines specifies how many sides there are in a triangle and how their…

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: 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: 13. The path from Crossley to Snow House is 600m long. The path from Crossley to Wallace is 40m. If…

A: Given that:                   Distance between Crossley to Snow House, a = 600mDistance between…

Q: 4. Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top.…

A: Given:

Q: A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of…

A: Given Data: The length of the ladder is: l=9.0 m The distance between the bottom of the ladder and…

Q: An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly…

A: Question:An Air Force pilot making a preliminary aerial survey, first observed that when he flew…

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

A:

Q: 2. Bryan is using an 8-ft ladder to pick apples from a tree. The bottom of the ladder makes an angle…

A: SOLUTION-

Q: Determine the horizontal distance from point A to each mountain peak. 2. State a position vector for…

A:

Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

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…

Q: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the…

A:

Q: A man standing between two trees and is 42 feet from the taller tree and 40 feet from the shorter…

A:

Q: 3. An offshore lighthouse is 2km from a coastguard station C and 2.5 km from hospital H near the…

A: let C be the coast guard station let H be the hospital and L be lighthouse

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.