From the top of a lighthouse 57 feet​ high, the angle of depression to a small boat is 41.8979°. The boat is 41.8979 degrees feet away. How far from the foot of the lighthouse is the​ boat?

Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

A:

Q: 39. Find the angle of depression from the top of a lighthouse 275 feet above water to a boat 1,324…

A:

Q: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

A:

Q: From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of…

A:

Q: From a window 31.0 ft above the street, the angle of elevation to the top of the building across the…

A:

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far…

A:

Q: From a tower 150 feet high with the sun directly overhead, an airplane and its shadow have an angle…

A:

Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

A:

Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: 3. The angle of elevation of a building 80 m high from a man on the ground is 50°42'. How far is the…

A:

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: answer is in next step

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: 1. From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How…

A: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°.How far…

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: From the top of a 190-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Given that height of lighthouse is 190 ft. And depression angle is 21°. And we find that how far is…

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

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: A 39-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A: To find the height

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: A radio tower is located 400 feet from a building. From a window In The building, a person…

A:

Q: 2. A lighthouse along a shoreline is known to be 438 m tall. Gabrielle is on a ship coming in to…

A:

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

Q: 8. A 25-foot ladder, leaning against the side of a building, makes a 50° angle with the ground. How…

A: sinθ = PerpendicularHypotenuse

Q: From a window,30.0 ft above the street, the angle of elevation to the top of a building is 50° and…

A:

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

A: We can find the answer as below

Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the…

A: Using trigonometric identities.

Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A:

Q: From the top of a lighthouse 96 feet high, the angle of depression to a small boat is 37.1658°. How…

A: Follow the procedure given below.

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: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

A:

Q: A2: From a theodolite platform at an elevation of 83.69m above sea level, the top of a mountain…

A:

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 29°. How far…

A:

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

Q: Suppose a building is erected such that the base of the building is 109 meters from the base of a…

A: Consider the provided question, According to given question we drawn a diagram,

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: The angle of elevation from level ground to the top of a building 12m away is 38 degrees. How tall…

A: We have to find the height of the building.  For this we can take tan(38) in given triangle

Q: From a window 33.0 ft above the​ street, the angle of elevation to the top of the building across…

A:

Q: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: The base of the ladder in the figure is a 7 ft from the building, and the angle formed by the ladder…

A:

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: Atunnel under a river is 197.3 ft below the surface at its lowest point, as shown in the drawing. If…

A:

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far…

A:

Q: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

A:

Q: 8. The angle of elevation from a car to a tower is 32. The tower is 150 fn. tall. How far is the car…

A:

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Topic :- trigonometry and triangle

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.