A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. If the angle of elevation to the top of the plateau is 20°, how far are you from the base of the plateau?

Q: A radio tower is located 275 ft from a building. from a window in the building, a person determines…

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Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

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: 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 lighthouse is 20 feet tall, and a boat is 50 feet from the base of the lighthouse. What is the…

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Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

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Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

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Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

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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: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

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Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

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Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: Suppose that you are headed toward a plateau 21 meters high. If the angle of elevation to the top of…

A: Let’s analyse the given information pictorially.

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 New York is found to be 2 degrees from the ground…

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Q: Determine value of angle a to the nearest tenth of a degree

A: Given that  sin α=13 in the interval π2<α<π cos β=-13in the interval π<β<3π2

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

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Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: What is meant by an angle of one radian?

A: To define  angle of one radian

Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

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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: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

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Q: The angle of elevation from an observer to the top of achurch is 0.3 radian, while the angle of…

A: Firstly Change radian to degree       0.3 radian =17.1887°0.4 radian =22.9183° According to…

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: A building that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

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Q: The angle between 0 and 2T in radians that is coterminal 26 ·T in radians is 9. with the angle |

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Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

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Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Please follow the next step.

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: Find the height of a tower if the angle of elevation of its top is 68° and when seen from point P on…

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Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

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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: Jazmin is flying a kite, but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

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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 man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

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: . A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

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Q: A tree cast a shadow that is 175 feet long. If the angle of elevation from the end of the shadow…

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Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

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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 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: 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: Suppose that you are headed toward a plateau 27.8 meters high. If the angle of elevation to the top…

A: given that height of plateau 27.8 m and angle of elevation to the top of plateau is 26.5 degree.…

Q: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

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Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

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

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.