(a) A photographer captured a photo as shown in Figure A below. Later, he discovered that the line which joins the bottom and the top of the mountain and the line which joins the top of the mountain and the aeroplane form a 90° angle, that is,

Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: • r : (x, Y, z) = (7, 8, 2) + X(-3, –8, 2) %3D 7 – x y – 8 - x y – 8 2 – z • S : -7 -6 4

A: Given query is to find the angle between two line.

Q: You are standing 20 feet from the base of a monument. The angle formed by the ground and your line…

A:

Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

Q: Spiderman is shooting webs at a lamp post. The first web is 14 meters long hits the to lamp post.…

A: We will use trigonometric Ratio to find the distance.

Q: An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the…

A: Given that An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50°…

Q: A flagpole 3m high stands on top of a pedestal 2m high above the ground. At a distance “x” meters…

A: A flagpole 3m high stands on top of a pedestal 2m high above the ground. At a distance “x” meters…

Q: 2. A surveyor has estimated that a mountain is 2540 ft high. He also measures the angles of…

A: Given: A surveyor has estimated that a mountain is 2540 ft high.Angles of depression (from the top…

Q: You are standing at the top of a lighthouse, looking down towards a boat on the water. From your…

A:

Q: An airplane is flying a constant altitude of 100m above the ground. At that instant, it was recorded…

A:

Q: Sketch in standard position on a grid below the angles 5pi/3(as a solid line) and -2pi/3(as a dashed…

A:

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.