urt is flying his airplane over a campground. He spots a small fire below at an angle of depression of 32°. If the horizontal distance from Kurt’s plane to the fire is 3600 feet, find the approximate altitude of his plane.

Q: The angle of elevation of a pedestrian crosswalk over a busy highway is 9.34°​,as shown in the…

A: The solution is:

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1750 feet apart. As the…

A: Given: Let XD=x. So, YD=1750-x. In triangle XDZ, ZD=x tan A   and   in triangle ZDY, ZD=(1750-x)…

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

A:

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A: Given that, there is a triangle with angle A which is complement of 52 degree   A = 90-52 = 38…

Q: A child is standing across the street from his apartment. His mother is on their balcony. The angle…

A:

Q: please help

A: Here we have to find the pitch of the roof,   The length of the base of the roof is 10 ft

Q: 5. Jeremy is up in his tree fort, and his sisters Jessica and Janie are below, on the ground.…

A:

Q: A helicopter is flying at an altitude of 338 meters, at an angle of depression of 27° to its landing…

A: Angle of elevation from helicopter to the landing pad is 27⁰. Helicopter is flying at an altitude of…

Q: A building at the foot of a hill is 15.6 m high. Find the height of the hill if the angle of…

A:

Q: An aircraft (at C) is spotted by two observers (at A and B) .o are L=1700 feet apart. As the…

A: Given,           An aircraft at C is spotted by two observersat A and B who are L=1700 feet…

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: O Amy is building a wheelchair ramp for her neighbor's front door, so he can more easily access his…

A:

Q: The CN Tower in Toronto, Canada, is the tallest free-standing structure in the world. A woman on the…

A: Here,  AB is the tower of height h = 1100 ft and the landmarks are placed at C and D with their…

Q: 13. From the top of her apartment building, Simone estimates that the angle of elevation to the top…

A:

Q: To estimate the height of a tree, one person stands due north of the tree and a secondperson stands…

A: As the distance between the tree and the two people are equal thus let the distance between the tree…

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

A:

Q: Two boats leave a harbour at the same time and head out at an angle of 35 degrees to each other.…

A: Given , in ∆ADBLaw of cosines :-d2=a2+b2-2ab cos D

Q: Batman and Robin are in the Batcave. They receive two calls for help from citizens of Gotham City…

A:

Q: 6. Shakkar, Nic, and Harry are camping in their tents. If the distance between Shakkar and Nic is…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on…

A:

Q: A man 5 ft 9 in. tall stands on a sidewalk that slopes down at a constant angle. A vertical street…

A: First we find angle Then use sine law

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

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: From a bedroom window of an apartment, Jack witness an accident at an angle of depression of 58…

A: Given Data: The angle of depression of the accident is: θ=58° The distance between the base of the…

Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

A:

Q: A Navy battleship is targeting an incoming fighter jet with an elevation of 10,000 feet. The…

A:

Q: Cleo is looking at an airplane flying at an altitude of 3 miles. Her angle of elevation is 37…

A: The explanation of answer as follows

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1600 feet apart. As the…

A: Given,           An aircraft at Z is spotted by two observers at X and Y who are L=1600 feet…

Q: A helicopter is hovering 110 feet in the air over a landing pad. If the landing agent sees the…

A:

Q: A kite flies at a height of 30 feet when 65 feet of string is out. If the string is in a straight…

A: Given: A kite flies at a height of 30 feet when 65 feet of string is out. The figure gives the clear…

Q: Two cruiser warships the Arizona and Baltimore are trying to find the position of an enemy…

A: according to question USS Arizona is at B and USS Baltimore is at A…

Q: The height of tower is 100 m., when the angle of elevation of sun is 30°, then the length of the…

A: Given height of the tower 100 m  Sun elevation of angle is 100 To find the length of shadow of the…

Q: A mathematician is vacationing in Italy and is viewing the Leaning Tower of Pisa. The man is…

A:

Q: The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on…

A: Redraw the given figure with line BC as shown below.

Q: From the top of a light-house at a height 20 meters above sea level, the angle of depression of a…

A: Use trigonometric ratio, tan(theta) = Perpendicular/Base Note that, side opposite to the angle is…

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

A:

Q: A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of…

A:

Q: You are a block away from a skyscraper that is 780 ft tall. Your friend is between you and the…

A:

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: Alexander is looking up at a 43-foot tall building at an angle of elevation of 28°. If his eyes are…

A:

Q: A hot-air balloon is flying at an altitude of 2975 feet. If the angle of depression from the pilot…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

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

A:

Q: A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the angle at…

A: Given:- A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the…

Q: Out for a walk in Chicago, Morgan measures the angle of elevation to the distant Willis Tower, and…

A:

Q: The navigator of a ship at sea spots two lighthouses some distance apart along a straight seashore.…

A:

Q: An airplane has leveled off (is flying horizontally) at an altitude of 12,000 feet. Its pilot can…

A: If a transversal line intersects two parallel lines, then the consecutive interior angles are…

Q: The airline distance from Minneapolis to Chicago is 347 miles. It is 700 miles from Minneapolis to…

A:

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

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.