A ranger is at the top of a 200 foot lookout tower located on a flat plain. She spots a fire at an angle of depression of 3 degrees from the top of her tower. How far away is the fire

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

A:

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

A:

Q: water sprinkler sprays water over a dentist of 45 feet while rotating through an angle of 140. What…

A: Given,  R= 45 ft Angle = 140°            = 7π/9 (in radian)    Bow,  Area of sector =…

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: Two scuba divers are 20m apart below the surface of the water. They both spot a shark that is below…

A:

Q: helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of 20°. After…

A: Given:- A helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of…

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: From a hotel a window 30 meters above the ground, allan finds that the angle of elevation of the top…

A: We have to draw a diagram according to the question and then we have to find the unknown sides of…

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

A:

Q: 2) A hiker decides to go for a walk in the woods. She walks 3 miles south of the cabin, then turns…

A:

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

A:

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

A:

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: From a point on the ground 43m away from a tree, the angle of elevation is 30 degrees. How tall is…

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

A:

Q: 6. Sara is standing 35 feet from the base of a rock wall watching her two sons, Max and Jon, climb…

A:

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

A:

Q: Two hikers are at opposite sides of a mountain, ready to begin their hike. The height of the…

A:

Q: From the top and bottom of a 56ft light house, the angle of depression of a ship are 41degrees and…

A: We have to find the height of the lighthouse above sea level.

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

A:

Q: Tme aigle Ul elevation from the top of a 10-story building to the top of a taller skyscraper across…

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: 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 airplane is flying with a velocity of 94.0 m/s at an angle of 26.0 degree above the horizontal.…

A:

Q: From the observation deck of a skyscraper, Jamal measures a 45 ° angle of depression to a ship in…

A:

Q: Diana is designing a triangular race course for a sailing regatta. The course is triangular and has…

A: Given query is to find the size of the third side.

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

A:

Q: Sam owns a triangular piece of land on which the tax collector wishes to determine the correct…

A:

Q: swimming pool viewed from the side is a right triangle. it is 15 feet at its deep end with a angle…

A: Sin theta= perpendicular (p) / hypotenuse (h) tan theta =perpendicular (p)/base (b)

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

A:

Q: sector of a circle; the outer rim of the garden is 25 feet long and the central angle of the sector…

A:

Q: (WASSCE) A woman looking out from the window of a building at a height of 30 m, observed that the…

A: Given:

Q: The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If…

A: Consider that the angle of depression from top of a flag stick to golf ball is 24° and length of…

Q: Iron Man and Thor are going to watch a movie with Captain America. Iron Man flies from his house to…

A: According to the given data, the diagram for the situation can be given as: Here, distance ID is to…

Q: An airplane is one mile above sea level when it begins to rise at a constant angle of 2 ° for the…

A:

Q: Bart is standing on a balcony that is 62 feet above the ground and sees two cars in the parking lot…

A:

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

A:

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

A:

Q: picture of a 4 feet vase standing on a 3 feet pedestal. She wants to position the camera at point c…

A: To find the distance between camera and foot of pedestal.

Q: You are standing 10 feet away from a tree, and you measure the angle of elevation to be 19°. How…

A: By using trigonometric ratio and Pythagoras theorem, we calculate the height of the tree.

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

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.