John hiked 1.5 mi. due east, then turned and hiked 2.3mi. roughly north of west. He ended up due north of his starting point. What angle did he turn? Makayla is standing 52 km away from Momotombo Volcano and the volcano is 2.4 km high. Assuming Makayla and the base of the volcano are at the same elevation above sea level, what is the angle of elevation from Makayla to the top of the volcano?

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: 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: 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 camera has been set up to record a diver at a diving competition. What is important for those…

A: Given figure is

Q: A group of students estimated the height of a building. They stood at point C which is 25 meters…

A: Given  Distance between A and C is 25 meters  Light beam makes 60 degree with the ground  To…

Q: Ron and Francine are building a ramp for performing skateboard stunts, as shown in the accompanying…

A:

Q: Batman and Robin are in the Batcave. They receive two calls for help from citizens of Gotham City…

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 in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: A Navy battleship is targeting an incoming fighter jet with an elevation of 10,000 feet. The…

A:

Q: A new home is being built. The roof is at a 35º angle as shown and the wooden runners that go from…

A: Let Height of the roof = h Let angle denoted by θ hypotenuse denoted by k Given θ = 35°k = 24 ft h =…

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: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

A:

Q: Diana is designing a triangular race course for a sailing regatta. The course is triangular and has…

A: Given query is to find the size of the third side.

Q: The statue of Smokey the Bear is a landmark in Revelstoke. At 8.3 m from the base, the angle of…

A:

Q: You are a secret agent trapped at the top of a tall building. To escape, you decide to slide down a…

A: The objective of this question is to find the length of the zip line. We can use trigonometry to…

Q: An observer on a ship sights a mountain cliff at a 32-degree angle. The cliff is 1250 feet above sea…

A:

Q: From a radar station, the angle of elevation of an approaching airplane is 32.5. The horizontal…

A:

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: You are standing at the peak of a 1500 meter mountain. You look down below and spot the tent you are…

A: Let A be the peak of mountain, Let the tent is at C

Q: A daredevil gymnast has attached a rope from the ground to the top of a 54 foot building at an angle…

A: We have to find the length of the rope.

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.