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
That would be 7 because it is placed in front of the y
X equal to 6 plus 1 by 3 which is 19 by 3 is the answer which is also a improper fraction
Shaded is 8.67
Circle A= pir^2
A= 3.14(4)(4)
A= 50.24
Hexagon
A= 1/2ap
1/2(4)(2sqrtof3)(6)
A= 41.569
50.24-41.569=8.671