The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet from the base of the lighthouse, what is the height of the lighthouse?

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 11degree…

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Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: how far is the partner from the base of the tower, to the nearest tenth of a foot?

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

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Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,takes a…

A: Given: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,…

Q: a 187-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far is the se of the…

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Q: The angle of elevation to the top of the Empire State Building in New York is found to be 19 degrees…

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Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is…

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Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

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: A ladder is leaning against the side of a building. If the ladder forms an angle of 60∘ with the…

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Q: The radian measure of an angle of 22 degrees is?

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Q: Find the value of the angleθ in degrees rounded to the nearest tenth of a degree.

A: Given-  To Find- The value of the angle θ in degrees rounded to the nearest tenth of a degree.

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: The angle of elevation to the top of a building in Seattle is found to be 2.8 degrees from the…

A: Given that: Angle of elevation  = 2.8°Distance from the base = 1.5 miles

Q: The radian measure of an angle of 244 degrees is

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Q: The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground…

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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 angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground…

A: From the given information, Angle of elevation of a Building from ground, θ=50 Distance from the…

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

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

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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: The angle of elevation is degrees (to the nearest degree)

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Q: The angle of depression from the top of a lighthouse to a ship is 40 degrees. If the lighthouse is…

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: The angle of elevation to the top of a Building in New York is found to be 3 degrees from the ground…

A: Consider the below figure

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

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Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

A:

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: 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…

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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: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A: Anglee of elevstion = 9°Distance of base ana point of observation = 1 mile = 5280 feetIt will make a…

Q: The angle of elevation to the top of Wayne Tower in Gotham City is found to be 14° from the ground…

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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 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: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation…

A: Given;  Final height is 6 feet. The ramp is the hypotenuse and the elevation is the short leg of a…

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 angle of elevation to the top of a building from a point on the ground is 24° . If the building…

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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: 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: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23degree. How…

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Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

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Q: The radian measure of an angle of 334 degrees is

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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.