Trigonometry : What is the angle of elevation of the sun when a 35ft mast casts a 20 ft shadow?

What is the angle of elevation of the sun when a 35ft mast casts a 20 ft shadow?

Lines and Circles

Say I have for example a circle with centre C(7,-5) passing through point A(6,-3) (With tangent line and radius, AC, being perpendicular.) 1. How would I go about finding the gradient of the tangent? 2. How would I go about finding that the equation of the tangent at A is the line x=2y+12 ? 3. And how would I go about find ...continues

Time And Distances

The movement of two submarines are being followed by a tracking system, and the positions of the submarines are modelled by points. The position of Sub A at time t is (2t+2, 2t+1) and the position of Sub B at time t is (4-t, t+5) (distance in Kilometers) 1.How would I go about eliminating t from each pair of coordinates, and ...continues

Critical numbers

(1) Given function: f(x) = (x^2)*[e^(12x)] (a) Find its horizontal asymptotes. (b) Find its critical numbers. (c) Find its inflection points. (2) Given function: f(x) = (x^3) / [(x^2) - 16] (a) Find its critical numbers. (b) Find its inflection points.

Star Polygons: 5/3 and 5/4 are the two given. Can you find the other regular star polygons with fewer than 10 vertices?

5/3 and 5/4 are the two given. Can you find the other regular star polygons with fewer than 10 vertices?

Geometry : Solve for the angles of a parallelogram.

Solve for the angles of a parallelogram. Please see the attached file for the fully formatted problems.

In a parallelogram, two points on the parallel sides are joined to vertices. The task is to prove that the resulting quadrilateral is a parallelogram

In the parallelogram ABCD, AN bisects the angle DAB, NC bisects angle BCD. Prove that AMCN is a parallelogram.

Graph and simultaneous equations

Accurately and neatly graph and label each of the equations and estimate the point of intersection of the two lines. Mathematically solve for the exact point of intersection of your two lines compare your mathematical solution with your graphical solution. Similar? Why? Not similar? Why or why not x + 2y = 14 4x - 2y = 18

can you lease check my work

I have attached a file regarding contrapositives and inverse and converse statements --- Statement: If two lines are parallel then they do not intersect. True Converse: If 2 lines do not intersect then they are parallel False Inverse: If 2 lines are not parallel then they intersect ...continues

The measure of each interior angle of a regular polygon...

The measure of each interior angle of a regular polygon is 11 times that of the exterior. How many sides does the polygon have?