The tangent function gives the ratio of vertical to horizontal distance in this case.
.. vertical distance = (horizontal distance)*tan(angle of depression)
.. = (40 m)*tan(50°)
.. vertical distance ≈ 47.7 m
Answer:
-1
Step-by-step explanation:
A-(b+c)
Let a=2 b=-5 c=8
2 - (-5+8)
2 - (3)
2-3
-1
Answer:
x=2, z=62
Step-by-step explanation:
Since (14x+34) and (11x+96) are linear angles, their angle measures must add to 180 degrees. We can thus set up this equation:
14x+34+11x+96=180
25x+130=180
25x=50
x=2
Since z and (14x+34) are vertically opposite angles, their values must be equal. Thus:
z=14x+34=14(2)+34=28+34=62
Less than means minus so 7 less than means -7
-2 times a number x means -2 times x or -2x
is greater than or equal to means <u>></u>
41=41
so
-7+-2x<u>></u>41
-2x-7<u>></u>41
add 7 to both sides
-2x<u>></u>48
divide both sides by -2
remember to flip sign since divided by negative
x<u><</u>-96
Answer:
The solution to the system of equations be:
x = 2, y = 4
Step-by-step explanation:
Given the system of equation
y - 2 = x
y = 3x - 2
substitute y = 3x - 2 in the equation y - 2 = x
y - 2 = x
(3x - 2) - 2 = x
3x -2 -2 = x
3x - 4 = x
add 4 from both sides
3x - 4 + 4 = x + 4
3x = x + 4
subtract x from both sides
3x - x = x + 4 - x
3x - x = 4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
For y = 3x - 2, plug in x = 2
y = 3x - 2
y = 3(2) - 2
y = 6 - 2
y = 4
Therefore, the solution to the system of equations be:
x = 2, y = 4
