Answer:
30
Step-by-step explanation:
All the degrees of a triangle should add up to 180 degrees.
D = F
D and F are not equal to 90.
If E = 30, D and F both equal 75.
75(2) + 30 = 180.
The total height of the building in question is;
600 ft
<h3>Angle of Elevation</h3>
The ledge of a wall is simply a projection from a building.
Now, we are told that this ledge is 300 ft from the building.
- Angle of elevation to the building top = 60°
- Angle of depression to the building bottom = 15°
Now, from the attached image, the distance from the ledge on the building wall to the top of the building is x.
- Thus, by trigonometric ratio;
x/300 = tan 60
x = 300 × 1.732
x ≈ 520 ft
- Similarly, via trigonometric ratio;
y/300 = tan 15
y = 300 × 0.2679
y ≈ 80
Thus;
Height of building = 520 + 80
Height of building = 600 ft
Read more about angle of elevation at;brainly.com/question/2881595
Answer:
x = 2, y = -3
Step-by-step explanation:
Add them together and get
9x + 8y - 9x - 9y = -6 + 9
-y = 3
so y = -3.
Sub it into the first equation and get
9x + 8(-3) = -6
9x - 24 = -6
9x = -6 + 24 = 18
x = 18/9 = 2
From what I have learned a geometric shape is any shape that when moved, flipped or reflected remains fully intact and practically unchanged. Some examples include circles, squares, triangles, hexagons, rectangles, octagons, etc...