A roadway rises 230ft for each 2400ft of horizontal distance. (A)  Find the angle of inclination of the roadway in degrees   (B) the percentage grade of a roadway is its slope written as a perfect. Find the percent grade of this roadway.

Q: An ameteur photographer wants to set up is camera to view the sunrise coming over the mountain and…

A:

Q: Convert the line length from one map scale to another map scale: Map 1 Line Length: 13.7" Map 1…

A: Scale for Map 1 : 1'' = 1320' Hence, 13.7'' = 13.7 * 1320' = 18084'

Q: If a slope rises 3ft over 100ft distance, what is the slope in %?

A:

Q: For what elevation(s) will the film crew be a vertical distance of 1,800 meters from the director?

A: Let's say the film crew is at an elevation of x meters above sea level when the crew is at a…

Q: A tree is 99 metres away on flat ground. Its top is an an elevation of 7 degrees above horizontal.…

A:

Q: The ratio of the lengths of two segments is 4:3 when they are measuredin centimeters. What is their…

A: The ratio of the lengths of two segments is 4:3 when they are measuredin centimeters.

Q: the area of a circle is decreasing at a rate of 3 meters-squared per second. find the rate of change…

A: Area of circle is πr^2. Differentiate area with respect to time and evaluate rate of change of…

Q: If a stream elevation drops 220 feet over a stretch of two miles? What is the stream gradient?

A:

Q: A 4311.81 ft distance was measured along of slope that has a percent slope of 4%. What is the actual…

A: Given: The distance measured along slope is 4311.81 ft and the percent slope is 4%. To find: Actual…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.