The angles of elevation and depression are formed by the line of sight and the horizontal line. When the line of vision is above the horizontal line, the angle is of elevation, and if the line of sight is below the horizontal, the angle is of depression.
The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles. Then, if the angle of depression of the taller building is 15° the angle of elevation of the shorter building is 15° too. To understand this, you should see the diagram attached.
In the diagram you can notice that both angles, of elevation and depression, have the same value.
Then, the answer is:
The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles.
The remote interior angles of a triangle are basically the two angles that do not share a vertex with and are opposite to the exterior angle.
5. ∠1 and ∠2
6. ∠2 and ∠3
7. ∠1 and ∠3
Because the exterior angle of a triangle is equal to the remote interior angles we can set up the following equations:
8.

9.
Answer:
x = 16
Step-by-step explanation:
(5x + 12)° + (6x - 8)° = 180°
(5x + 12 + 6x - 8)° = 180°
(11x + 4)° = 180°
11x + 4 = 180
11x = 180- 4
11x = 176
x = 176/11
x = 16
Answer:
Step-by-step explanation:
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