Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
(Positive infinity and negative infinity),{x|xER}
Answer:
105
Step-by-step explanation:
theres 3 feet in a yard
Answer:

Step-by-step explanation:
1. Using the point of intersections, we use the substitution method to find the coordinates of the line parallel to 


substituting the value of y in
:

substituting x=-1 in y= -4-5x:
(upon solving, you should get this)

2. Using y=mx+c and making y the subject of the formula 2x-y-9=0 and using the coordinate we found earlier, we will find the equation of the parallel line. (We make y the subject of the formula to find the gradient)


-1= 2 x 1 +c
-3=c