The trunk of a tree makes a 60° angle with the ground. A ladder leans against the trunk on the 60°-side. When the top of the ladder is 3 feet from the trunk's base, the bottom end is 12 feet from the base. Let t and b measure the respective distances (in feet) from the base of the trunk to the top and bottom ends of the ladder.

Q: The architect stands 6 feet from a climbing frame, looking up at the top of the frame at an angle of…

A: Given  architect stands 6 feet from climbing frame

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

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Q: Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle…

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Q: Amelia Earhart learned to fly in a Curtiss JN-4 plane, affectionately known as the Jenny. The Jenny…

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Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: The height of a tower is 175feet and it casts a shadow of 78 feet. find the angle elevation fUM the…

A: The height of a tower is 175 feet and it casts a shadow of 78 feet.

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

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Q: An escalator in a department store is to carry people a vertical distance of 20 feet between floors.…

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Q: The world's largest dinosaur, in Drumheller, is 86 ft tall. Anita measured the angles of elevation…

A: Using trigonometric functions,

Q: Find the height of the wall. At a construction site, a 30-foot ramp is leaning against a wall and…

A: Trigonometric ratios give the relation between the angles and the sides of the right angled…

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.