Step-by-step explanation:
DEFINITION: Besting: the clockwise totation (0° to 360°) from North to any line.
A) Calculate the bearings of D from A:
bearings of D from A =x
looking the picture:
x=48°+55°+180°
x+103°+180°
x=283°
B)Calculate the bearings of A from C:
bearings of A from C =y
180°+55°=y
y=235°
C) Calculate the distance between A and B:
The angle in B is 74° (Because 55°+51°+74°=180°)
Using the Law of sines:
![\frac{19}{sin(74)} =\frac{AB}{sin(51)} \\\\AB=19sin(51)sin(74)\\AB=14,2\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7Bsin%2874%29%7D%20%3D%5Cfrac%7BAB%7D%7Bsin%2851%29%7D%20%5C%5C%5C%5CAB%3D19sin%2851%29sin%2874%29%5C%5CAB%3D14%2C2%5C%5C%5C%5C)
D)Calculate the distance between D and C:
Using the Law of cossines:
![DC^{2} =27^{2} +19^{2} -2*27*19*cos(48)\\DC=20,09](https://tex.z-dn.net/?f=DC%5E%7B2%7D%20%3D27%5E%7B2%7D%20%2B19%5E%7B2%7D%20-2%2A27%2A19%2Acos%2848%29%5C%5CDC%3D20%2C09)
E) A Helicopter is hovering at A at a height of 2.5Km, find angle of elevation of helicopter from C:
The triangle HBA is rectangle
![\alpha =arctan(\frac{2,5}{19})](https://tex.z-dn.net/?f=%5Calpha%20%3Darctan%28%5Cfrac%7B2%2C5%7D%7B19%7D%29)
α=7,49°
Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. Before beginning a two column proof, start by working backwards from the "prove" or "show" statement. The reason column will typically include "given", vocabulary definitions, conjectures, and theorems.
<span> P(x)=3, Q(x)=4x - 7, R(x) = x2 + x, S(x)=2x3. - 6x ... (b) The graph of Q(x)=(x + 1)5 is the graph of y = x5 shifted to the left 1 unit. (c) We begin with ...and negative leading coefficient, so the end behavior of P is similar to -x2: y → -с as x ... zeros of P are the solutions of the polynomial equation P(x) = 0. Note that if ...</span><span>
</span>