Standing on the gallery of a lighthouse a person spots a ship at an angle of depression of 20 degrees. The lighthouse is 28 m tall and sits on a cliff 45 m tall as measured from seal level. What is the horizontal distance between the lighthouse and the ship

Q: 2) While travelling across flat land, you notice a mountain directly in front of you. Its angle of…

A: Here we use the concept of trigonometric ratio

Q: Julia lies down on the grass in a park and begins reading a book. She is 30 meters away from the…

A: let AB be the TreeThen tan 35°=ABBCtan 35°=AB30

Q: a man is standing near a radio station antenna observes that the top of the antenna is 54°. walks 60…

A:

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

A: topic - angles and triangles

Q: A boy flying a kite is standing 30 m from a point directly under the kite. Is the kite's string is…

A: The given situation can be given in the figure below;

Q: HILLS The length of a hill in your neighborhood is 2000 feet. The height of the hill is 750 feet.…

A: Here we have been given that the length of a hill in the neighborhood is2000 feet. Also, the height…

Q: flag staff 25 feet high stands on the top of a house. From a point on the plane on which the house…

A: Let x be the height of the house In triangle ABC,  angle is 45 degree. So it is an isosceles…

Q: Over 2 miles (horizontal), a road rises 300 feet (vertical). What is the angle of elevation?

A:

Q: A plane is flying at an elevation of 32000 feet. It is within sight of the airport and the pilot…

A: In given figure, let P be the point in the air where the plane is at an elevation of 32000 feet from…

Q: A road is inclined at an angle of 5. After driving 4,792 feet along this road, find the driver's…

A: It is given that the road is inclined at an angle 5°. The distance driven is 4,792 ft. Let the…

Q: A statue 1.6 m tall stands on the top a pedestal. From a point on the ground the angle of elevation…

A:

Q: A tree is observed on the opposite bank of a river. At a point the river is known to be 120 feet…

A:

Q: A plane takes off from a runway and travels 50,000ft at a constant angle of incline. The planes…

A: According to the question, the figure will be:   To find: Value of x.

Q: The periscope of a submarine is at sea level. The boat captain spots an airplane with an elevation…

A:

Q: A tree is observed on the opposite bank of a river. At that point the river is known to be 140 feet…

A:

Q: A piece of land is in the shape of a sector. It’s area is 900 sq ft, while it’s arc length is 30 ft.…

A:

Q: A truck is moving north at a speed of 70km/hr. The exhaust pipe above the truck cab sends out a…

A: Given :  A truck is moving north at a speed of 70km/hr. The exhaust pipe above the truck cab sends…

Q: A jet is flying at an altitude of 30,000 feet. An air traffic controller measures the angle of…

A:

Q: A flagpole, which is 34 ft high, stands on top of a tower, which is 30 ft high. From a certain point…

A: Consider the figure shown below:  Angles and Vertices are marked as shown in the figure. Let the…

Q: A student is riding a bicycle and sees a traffic light that is 50 feet away. The vertical distance…

A:

Q: A tree grows at an angle of 4 degrees from the vertical due to prevailing winds. At a point 40…

A:

Q: The bottom of the ladder is 13 feet from a wall and the top of the ladder touches the wall 8 feet…

A: Form the right triangle from the given situation than use the trigonometric ratio.

Q: 11. A Rocket its launching from Cape Canaveral. From the launch bay to the observation deck it's a…

A: To draw the given situation and to find the height of rocket at that time

Q: flagpole 3 m high stands at the top of a pedestal 2 m high located at one side of the pathway. At…

A: Consider the diagram as per given information, here we need to find the value of x that is the…

Q: Your school is organizing a carnival. You are building a ramp for a game. The surface of the ramp…

A: The sine of an acute angle of a right triangle the ratio of the length of the opposite and the…

Q: An observer is standing in a lighthouse 96 feet above the level of the water. The angle of…

A: An observer standing at a height of 96ft on a light house  The angle of depression of the buoy is…

Q: the angle between an observer's line of sight and a horizontal line Find the angle of depression of…

A: 1) To write the angle between observer's line of sight and horizontal line

Q: urt is flying his airplane over a campground. He spots a small fire below at an angle of depression…

A: Kurt is flying his airplane over a campground. He spots a small fire below at an angle of depression…

Q: Firefighting A firefighter on the ground sees fire break through a window near the top of the…

A: Angle of elevation to the windowsill is 28° angle of elevation to the top of the building is 42°…

Q: A pilot flying a helicopter locates a person on the ground. The horizontal distance from the person…

A:

Q: high wishes to estimate the width of the pile. He visually locates two rocks the ground below, at…

A: Angle of depression= 3°5'   Vertical height= 3000feet  Find horizontal distance.

Q: A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is…

A: This question is solve by using the Pythagoras theorem.

Q: 5. Johnny and Bobby are standing on opposite ends of a 120ft boat. Both spot a buoy between them out…

A: We will solve the following.

Q: 2. A boy flies a kite with a 100-foot-long string. The angle of elevation of the string is 48°. Find…

A: 2) The given problem will be solved by using Trigonometric Ratios

Q: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

A:

Q: The captain of a small boat measures and deteremines that the angle of depression from the top of a…

A:

Q: A plane rises from take- off and flies at an angle of 8° with the horizontal runway. When it has…

A: Given that a plane rises from take- off and flies at an angle of 8° with the horizontal runway when…

Q: Two dormitories are located on a campus. The (direct) distance between their roofs is 47.2 meters.…

A: We will find the height of each building and the viewing angle as following.…

Q: A loading ramp is 12 feet long and is placed from the ground level to the top of a loading platform.…

A: Given:- A loading ramp is 12 feet long and is placed from the ground level to the top of a loading…

Q: Maria is standing in her bedroom and looking out at a tree outside her window. The tree is 20 ft…

A: Given, Maria is standing in her bedroom and looking out at a tree outside her window.  The tree is…

Q: Munir is digging a drainage ditch to prevent water from pudding under his tent. He digs a traight…

A: Given that: Depth of ditch, h=0.67 ft                    Length of ditch, L=3.5 ft

Q: airplane that is currently 13,000 feet above the ground is preparing to make its landing at an…

A:

Q: A cruise missile is traveling straight across the desert at 548 mph at an altitude of 1 mile as…

A:

Q: visitor at an art gallery sits on the floor, 2.4 m from the wall, and looks up at a painting. He can…

A:

Q: A plane is flying at an elevation of 33000 feet It is within sight of the airport and the pilot…

A:

Q: At a point A south of a tower, the angle of elevation of the top of the tower is 30⁰. From A, 1000…

A:

Q: Two cars drive on roads that form a 75° angle. One drives at 32mph and the other at 40mph°. Fine the…

A:

Q: An aeroplane at an altitude of 200 mts observes the angle of depression of opposite points on  the…

A:

Q: A student  viewing a painting in a museum. Standing 6 ft from the painting, the eye level of the…

A: Given: According to the question figure will be:     To determine: angle AEB

Q: You are building a ramp that must cover a horizontal distance of exactly 20 feet. The angle of the…

A: Horizontal distance=20 feet Angle of the ramp from the ground=8 degree

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.