The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 23.6°, how far, to the nearest foot, is the ship from the statue's base? feet (Round to the nearest foot.)

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

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Q: A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff…

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Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

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Q: The angle of elevation from a point A on the ground to the top of a space shuttle is 27°. If point A…

A: It is given that the angle of elevation of the space shuttle from point A is 27°. The distance from…

Q: A surveyor starts at the edge of a lake, at point A, and measures a 90° angle between B and C, as…

A: Here we will find the length of the lake between A and C,

Q: 4) The angle of elevation from a boat to the top of a 48-meter lighthouse is 25°. How far is the…

A: According to our terms and conditions I have solved first question for next question repost

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 72°.…

A: perpendicular/hypotenuse=sin(angle)

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: 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: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

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Q: The angle of elevation to the top of a building from a point on the ground is 22°. If the building…

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 18 feet, what…

A: Given Truck height =4 feet Ramp length=18 feet

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: If you place a 18 ft. Ladder 3 ft. From the base of the wall, what is the angle measure of the…

A: The cosine of an acute angle (A) in a right angles triangle is given by:   cos(A)=Side adjacent to…

Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 13 feet long,…

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Q: A ladder that is 20ft long is leaning against the side of a building. If the angle formed between…

A: A ladder that is 20 ft. long is leaning against the side of a building and the angle formed between…

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12

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Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

A:

Q: A lighthouse operator sights a sailboat at an angle of depression of 17 degrees. If the lighthouse…

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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: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

Q: A 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft. from the base of…

A:

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

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

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Q: At a point 600 feet away from the base of a building, the angle of elevation to the top of the…

A: distance between the point and the base of the building is 600 m  angle of elevation to the top of…

Q: A car wheel has a 13 inch radius. Through what angle (to the nearest 10th of a degree) does the…

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Q: The angle of depression from the top of a building, 212 meters tall, to a point on the ground is…

A: 2.1

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: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

Q: Based on the triangle below, angle H is equal to ___ degrees. *(round to one decimal place)

A: Given,

Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

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

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: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

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Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 24o 10'…

A: Given:A 35-foot ladder is leaning against the side of a building and it makes an angle of 24 degree…

Q: The angle of elevation to the top of the building is 69 If the firefighter is 26 feet from the…

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Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

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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: The angle of elevation to the top of a flagpole is 40° from a point 30 meters away from the base of…

A: Let the height of the flagpole be h. In a right angled triangle, the tangent of an angle(other than…

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: 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: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

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

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Q: From a point 250 ft from the base of a tower, the angle of elevation to the top of the tower is 18.5…

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Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 13. Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of 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.