An 8 foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. Attached to a stake in the ground, the guy wire makes an angle of 51° with the ground. How far from the foot of the stop sign is the stake, to the nearest tenth of a foot? 51 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: The town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

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

A:

Q: A surveyor is standing 50 feet from the base of te tree. The surveyor measures the angle of…

A:

Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? O 40°…

A: As we know that; The trigonometric ratio. tanθ=PerpendicularBase According to the given problem, the…

Q: Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30°.…

A: Given  Brandon sights a helicopter above a building and  building is 200 feet away at an angle of…

Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? O 30°…

A: Topic:- geometry and trigonometry

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

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: A 85.3 foot rope from the top of a circus tent pole is anchored to the ground 50.2 feet from the…

A:

Q: A cable from the top of a 200-ft telephone tower makes a 50° angle with the ground. How long is the…

A:

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: A 72.6-foot rope from the top of a circus tent pole is anchored to the ground 44.8 feet from the…

A: Given:        Height = 72.6 ft        width = 44.8 ft

Q: A civil engineer is calculating the height of a tall tree. She stands 57 feet from the base of the…

A:

Q: A building that is 360 feet tall casts a shadow 60 feet long. What is the angle of elevation of the…

A:

Q: The tallest free standing tower in the worl is the CNN Tower in Toronto, Canada. The tower includes…

A: Tangent angle is the ratio of the perpendicular distance and base distance.

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 20-foot ladder leaning against a wall forms an angle of 46° with the ground. How far up the side…

A: ladder length=20 footwe know-sin θ=xladder

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 18 18-ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: From the top of a 215-meter-tall building, an observer measures the angle of depression of a bicycle…

A: Use trigonometric ratio to solve it.

Q: the recomended safety angle of a ladder against a building is 76 degrees. A 10-m ladder will be…

A:

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: A 109 ft. tree casts a shadow that is 130 ft. long. What is the angle of elevation of the sun? 60°…

A:

Q: A radio transmission tower is 225 feet high. How long should a guy wire be if it is to be attached…

A: Here we will find the length of guy wire,

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

A:

Q: A 800-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: To find the height of a communication tower , from the given data.

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: A 40​-foot ladder is leaning against the side of a building. If the ladder makes an angle of 22°17′…

A:

Q: The angle of elevation from a ship to the top of a 48m lighthouse on the shore measures 27 degrees.…

A:

Q: Identify the measure of the smaller angle made by the hands of a clock at 1 o'clock.    The…

A: Identify the measure of the smaller angle made by the hands of a clock at 1 o'clock.    The measure…

Q: A building that is 210 feet tall casts a shadow 70 feet long. What is the angle of elevation of the…

A: From the given problem the represented diagram is as shown below. Let the angle of elevation of the…

Q: Rope 8 ft Pole 57 If the rope forms a 57° angle with the ground, what is the height of the pole, to…

A: on solving this we get the

Q: A 72.1-foot rope from the top of a circus tent pole is anchored to the ground 43.6 feet from the…

A: From the given problem the represented diagram is shown below. Let the angle is θ.   So, with…

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: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

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: 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: A triangular parcel of ground has sides of length 740 feet, 665 feet, and 530 feet. Find the measure…

A: Topic: triangle

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: A 17-foot ladder leans against a building so that the angle between the ground and the ladder is 65…

A:

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: The angle of elevation to the top of a Building in New York is found to be 8 degrees from the ground…

A: The objective is to find the height of the building.

Q: A 14-foot ladder leans against a building so that the angle between the ground and the ladder is 67…

A:

Q: A plane takes off and climbs at a 9° angle. After flying over 8 miles of ground, what will the…

A: To find: The plane's altitude h. Concept used: Trigonometric ratio: tan θ=pb Here, p is…

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

A: According to the given problem, the represented diagram is as shown below; Let, the angle of…

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: A lighthouse keeper is in the top of a lighthouse 95 feet above sea level. She notes that the angle…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=95 BC=x C=6