Ahelicopter hovers 975 feet above a small island. The figure shows that the angle of depression from the helicopter to point P on the coast is 35". How far off the coast, to the nearest foot, is the island?

Q: a 22-foot ladder leaning against a building makes a 70-degree angle with the ground. how far up the…

A:

Q: A 15 foot ladder is leaning against the side of a building. The angle of elevation between the…

A: Here we will find height of side of building where ladder can reach,

Q: A cable from the top of a 100 foot telephone tower makes a 50° angle with the ground. How long is…

A:

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A:

Q: A person standing 234 feet from the base of a church observed the angle of elevatlon to the church's…

A:

Q: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° with the ground.…

A: It is given that the ladder is of length 26 foot and the angle form between the ladder and ground is…

Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

A:

Q: An airplane is flying 5000 feet above the ground. If the angle of depression to the airport runway…

A: Use tan theta to calculate ground distance

Q: From the top of a 230-meter-tall building, an observer measures the angle of depression of a bicycle…

A:

Q: A person standing 354 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 354 feet from the base of a churchThe angle of elevation to the church's steeple…

Q: A 25 foot tall flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole? 25…

A:

Q: It takes 791 horizontal feet for a submarine to submerge 371 feet. What is the angle of depression,…

A:

Q: A 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

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

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

Q: A person standing 100 feet from the base of a church observed the angle of elevation to the church's…

A: Given that A person standing 100 feet from the base of a church observed the angle of elevation to…

Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the…

A: Given: The angle of elevation from the tip of the 67-m shadow to the top of the Space Needle is 70°.

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: An 18 - foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to…

A:

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A:

Q: A 18 foot ladder rests against a wall. The ladter makes a 65 angle with the ground. How far from the…

A:

Q: A 25-foot ladder leans up against a house at an angle of 65°. How high up on the house does the…

A:

Q: A person standing 376 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

A:

Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

A:

Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of…

A:

Q: You want to make an 80 angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A:

Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

Q: From a point on level ground 120 feet from the base of a tower, the angle of elevation is 48.3°.…

A: Definition used -             trigonometric ratio -             In a right angle triangle -…

Q: From the top of a tower 23 m high, a princess looks down at an angle of depression of 70 degrees.…

A: here we need to find the distance bc and ac. the solutio is following.

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the…

A: see below the answer and explanation

Q: From a point of observation 135 meters from the base of a building, the angle of elevation to its…

A:

Q: A windshield wiper rotates through a 120° angle as it eleans a windshield. From the point of…

A: Given a windshield wiper rotates through a 120° angle as it cleans a windshield. we have to find the…

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: 2.] From a point on a ship's deck 30 feet from the base of the mast, the angle of elevation of the…

A: Given the data :

Q: A person standing 241 feet from the base of a church observed the angle of elevation to the church's…

A: It is given that, A person standing 241 feet from the base of a church observed the angle of…

Q: A guy wire is 13.8 yards long and is attached from the ground to a pole 6.7 yards above the ground.…

A: Given, A guy wire is 13.8 yards long and is attached from the ground to the pole 6.7 yards above the…

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: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Find the angle of elevation of the…

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the…

A: Consider the provided information, The graph is shown below, Find the length of the shadow.

Q: The angle of depression of a submarine from another ship is 28 degrees. The submarine is 791 feet…

A:

Q: A person standing 164 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, MO…

A: This problem can simply get solved by trigonometry. Let us use following figure for reference Now…

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

Q: A 25 foot flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole? to 25…

A: We use Trigonometry ratios

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

A: A detailed solution is given below.

Q: A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: According to question, below the figure  Since line OA is parallel to BC∠OAC=∠ACB = 15.2°…

Q: From the observation deck of a skyscraper, Jamal measures a 51° angle of depression to a ship in 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.