Answer:
219m
Step-by-step explanation:
Since the man observes the car with angle 15 before observing in 33 degrees.
For the first observation
The angle observation gives an angle if 33 degrees with the horizontal.
It gives a triangle which I'll attach to the que,
from the first triangle
Tan 33 = 100/y
Y= 100/ tan 33
Y = 153.99m.
This is the distance from the building to the distance where it was secondly observed( 33).
To find x
tan 15 = 100/(153.99+x)
153.99 + x = 100/ tan 15
153.99 + x = 373.21
The distance between the two observed angles
X= 219m.
Simplifying
2c + 3 = 3c + -4
Reorder the terms:
3 + 2c = 3c + -4
Reorder the terms:
3 + 2c = -4 + 3c
Solving
3 + 2c = -4 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
3 + 2c + -3c = -4 + 3c + -3c
Combine like terms: 2c + -3c = -1c
3 + -1c = -4 + 3c + -3c
Combine like terms: 3c + -3c = 0
3 + -1c = -4 + 0
3 + -1c = -4
Add '-3' to each side of the equation.
3 + -3 + -1c = -4 + -3
Combine like terms: 3 + -3 = 0
0 + -1c = -4 + -3
-1c = -4 + -3
Combine like terms: -4 + -3 = -7
-1c = -7
Divide each side by '-1'.
c = 7
Simplifying
c = 7
76 + 4 is 80... don't know what you're asking
X=9
3x-12=x+6
2x-12=6
2x=18
X=9
