From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff as 35°. Hasan standing at point H, is 65 m away from Samantha and estimates the angle between the base of the cliff, himself and Samantha to be 53°. Samantha estimates the angle between the base of the cliff, herself and her classmate Hasan to be 45°.  What is the height of the cliff, TB, to the nearest metre?

Q: A ship's captain notes that a second ship is 14.5 km away at an angle of 45° N of E and a third ship…

A: Here, we are going to solve only one question and for the remaining question please post the…

Q: The distance between BQ mall and Alturas Mall is 156 m. The angle formed by the road between between…

A: Angle sum property of a triangle: According to this property, the sum of all the angles of a…

Q: The distance between two office buildings is 73 m. From the 9th floor of the shorter building, the…

A:

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: . A hiker (1.7 m tall) measures her distance to the foot of a Sequoia tree to be 25 meters. She also…

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Q: Lisa stands at the window of a building looking for her lost cat. She spots her cat 58.5 m away from…

A: Lisa spots the cat from the window of building which is at a height of 12.6 m.  The cat is at a…

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: 14. A jet takes off at a 30° angle. The runway (from takeoff) is 875 feet long. Find the altitude of…

A:

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: An electric pole is 85 feet tall and stands vertical. A guy wire 180 feet long is attached from the…

A:

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: Yanek builds custom decks. The stairs for a customer have a riser of 180 mm and tread of 310 mm.…

A: It is given that the stairs have a riser of 180 mm and tread of 310 mm.We know, angle of elevation…

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

Q: To determine the height of the Peace Tower on Parliament Hill in Ottawa, measurements were taken…

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Q: The length of a hill in your neighborhood is 2000 feet. The angle of elevation corresponding with…

A: The objective of this question is to find the height of the hill given the length of the hill and…

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.