A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the horizontal distance from the wall to the base of the ladder, to the nearest tenth of a foot?

Q: Nikita stands 120 meters from the base of a tower. From ground level where Nikita is standing, the…

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Q: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

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Q: Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground.…

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Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

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

Q: helps to support a tower. The angle between the wire and the level ground is 56. One end of the wire…

A: Given query is to find the height, where wire reaches on the tower.

Q: The angle of elevation to the top of a skyscraper from a 30m high house is 50 degrees. The base of…

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Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: A carpenter constructs a table with four legs that each forms an acute angle with the tabletop. Each…

A: Solve by using pythogorous theorem.

Q: The top of an 8-foot ladder leans against a wall at a height of 7 feet. What angle (degrees) does…

A: Length of the ladder is 8 foot and length of the wall is 7 feet. We have to find the angle between…

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: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: Find the angle of elevation of the top of a 50 m tall building measured at a point situated on the…

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Q: The shadow of a man is 10 feet long when the angle of elevation of the sun is 30.5°. Determine the…

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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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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.