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 balloon passes between two observers that are 2 miles apart. The angle of elevation are 27° and…

A: A balloon passes between two observers that are 2 miles apart. The angle of elevation are 27° and…

Q: fisherman Jim lets out the anchor of his boat so that the chain holding the anchor forms an angle of…

A:

Q: Two chords AB = 8 cm and BC = 12 cm of a circle form an angle of 120⁰. Find the radius of the…

A: Given that two chords AB=8cm  and BC =12cm of a circle form  an angle of 120° . To find : Radius of…

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: Estimate a positive and negative degrees for the indicated angle in standard position.

A:

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 flagpole is 3 meters tall. What is the angle of elevation of the sun when the horizontal shadow of…

A: Given

Q: diagram

A:

Q: You shoot a rocket with an angle of elevation of 60 degrees. If the rocket flies straight at 90…

A:

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: 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: 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

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.