Standing on the gallery of a lighthouse a person spots a ship at an angle of depression of 20 degrees. The lighthouse is 28 m tall and sits on a cliff 45 m tall as measured from seal level. What is the horizontal distance between the lighthouse and the ship

Q: A roller coaster travels 80 ft of track from the loading zone before reaching its peak. The distance…

A: Let distance between the loading zone and the peak be..Given, .Let the horizontal distance between…

Q: A forest ranger looking out from a ranger's station can see a forest fire at a 35 degree angle of…

A: A forest ranger looking a forest fire at 35 degree angle of depression.

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…

A:

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

A:

Q: Yandel will place a ramp over a set of stairs at the backyard entrance so that one end is 7 feet off…

A: one end of the ramp is 7 feet off the groundother end is horizontal distance of 40 feet awayeach…

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: From a bedroom window of an apartment, Jack witness an accident at an angle of depression of 58…

A: Given Data: The angle of depression of the accident is: θ=58° The distance between the base of the…

Q: air traffic controller needs to calculate the height of an incoming jet. The jet's angle of…

A: Given that:The angle of elevation is 28° and the horizontal distance is 140 km.To find: The height…

Q: A boat is sailing and spots a shipwreck 530 feet below the water. A diver jumps from the boat and…

A:

Q: From the cliff, 500 ft above the horizontal plane, the angle of depression of a church in the plane…

A: Given that: From the cliff, 500 ft above the horizontal plane, the angle of depression of a church…

Q: swimming pool viewed from the side is a right triangle. it is 15 feet at its deep end with a angle…

A: Sin theta= perpendicular (p) / hypotenuse (h) tan theta =perpendicular (p)/base (b)

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.