The angle of elevation from A to B is represented by the expression (3x + 6). The angle of depression is represented by the expression (x+20). Find the value of x.

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asked Jul 3, 2024 32.5k views

1 Answer

Sivachandran · Answer 1 · 2024-07-09T19:10:02+0000

The value of x is 7.

To find the value of x, we can set the expressions for the angle of elevation and angle of depression equal to each other and solve for x.

(3x + 6) = (x + 20)

First, let's simplify the equation by subtracting x from both sides:

3x + 6 - x = x + 20 - x

Now, combine like terms:

2x + 6 = 20

Next, subtract 6 from both sides:

2x = 14

Finally, divide both sides by 2:

x = 7.