A 10-foot ladder is to be placed against the side of a building. The base of the ladder must be placed at an angle of 62.5° with the level ground for a secure footing. Find, to the nearest inch, how far the base of the ladder should be from the side of the building and how far up the side of the building the ladder will reach

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Q: Marla needs to find the height of a building. From a given point on the ground, she finds that the…

A: Geometrical representation of the problem: We need to find the value of h.

Q: Brian's kite is flying above a field at the end of 65 m of string. If the angle of elevatiom O 21 O…

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A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

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

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Q: From the top of a bridge over the Burlington Canal, Maria looks down at a sailboat at an angle of…

A: Here we have to use the concept of trigonometry

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A: We sketch the situation roughly. Let the height of the building is = h feet

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Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

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Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the angle at…

A: Given:- A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the…

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A: To find the distance between camera and foot of pedestal.

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Q: An observer (O) is located 500 feet from a school (S). The observer notices a bird (B) flying at a…

A: The objective of this question is to find the height at which the bird is flying over the school.…

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.