A smokestack is 150 ft high. A guy wire must be fastened to the stack 20.0 ft from the top. The guy wire makes an angle of 43.0° with the ground. Find the length of the guy wire (in ft). (Round your answer to three significant digits.) ft

Q: A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 12.5º. If…

A: Here, A is the position of ship's sonar and C is the position of wreck. We need to calculate the…

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: This question is based on the concept of right angle triangle and trigonometric ratios.

Q: The angle of depression from the top of a tower to a boulder on the ground is 60°. If the tower is…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: If the angle of elevation of the sun is 73° 30', how tall is a post that casts a shadow 1.9 feet…

A: Given : The angle of elevation of the sun is 73°30', and shadow 1.9 feet long.    θ = 73°30' = 73° +…

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: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

A:

Q: The 150-foot-long string of a kite you are flying is being pulled taut by the wind and makes an…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

A:

Q: A kite is flying at an angle of elevation of 67° with the ground. If 100 ft of string have been paid…

A: Since, it is given that a kite is flying at an angle of elevation of 67° withthe ground.∠B=67°Since,…

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 77 °.…

A:

Q: A 26 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A: Solving the problem finding the angle between them.

Q: A railroad bridge over New Scotland Road in Slingerlands, New York, has a low clearance for trucks.…

A: From the given information we get, An engineer standing 20ft away measures a 15.4° angle of…

Q: 13. 24 ft 12 ft

A:

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: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40°…

A: We find out the angle of the elevation. Follow 2nd step.

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: If the angle of elevation of the sun is 70° 30', how tall is a post that casts a shadow 1.4 feet…

A:

Q: Find the acute angle measure, to the nearest degree. V 14

A: We use Trigonometry ratios

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

A:

Q: Find the angle of view θ of the camera​ lens, given the measurements shown in the figure below. θ=…

A: This question is related to trigonometric ratios,  we will solve it using given information.

Q: From the top of a 72-m lighthouse, the angle of depression to a ship in the ocean is 21°. How far is…

A: Given the top of a 72 m and the angle of depression to a ship in the ocean is 21°. We have to find…

Q: A 17 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A:

Q: The Willis Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees is_____?…

A:

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: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Given: A 19-ft ladder leans against a building so that the angle between the ground and the ladder…

Q: A radio transmission tower is 319 feet tall. A guy wire is to be attached 6 feet from the top and is…

A:

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 lamppost casts a shadow of 18 ft when the angle of elevation of the Sun us 33.7 degrees. How high…

A: Sketch the situation roughly.Let the height of the lamp post is h ft

Q: A 88-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: The base of the ladder in the figure is a = 9 ft from the building, and the angle formed by the…

A:

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

A:

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

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: What is the angle of elevation of the sun when a 35-foot flag pole casts a 20-foot shadow? Round to…

A:

Q: From the top of a 169-ft lighthouse, the angle of depression to a ship in the ocean is 19°. How far…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

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: If the angle of elevation of the sun is 75° 30', how tall is a post that casts a shadow 1.1 feet…

A: 30' = 0.5 degree

Q: When a 10-foot tall flagpole casts a 9-foot shadow, what is the angle of elevation of the sun? If…

A:

Q: 12. A surveyor is standing 25 feet from a building and is looking at the top with an angle of…

A:

Q: Find the bearing of the ship. Round to the nearest tenth of a degree if necessary. 333° The bearing…

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

Q: What is the angle of depression from the plane to the​ building?(Round to the nearest degree as​…

A:

Q: A radio transmission tower is 535 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given problem:- A radio transmission tower is 535 feet tall. A guy wire is to be attached 6 feet…

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: Given that:

Q: If the angle of elevation of the sun is 72° 30', how tall is a post that casts a shadow 1.3 feet…

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.