Answer:
x=16
Step-by-step explanation:
The opposite angles will always be supplementary
<K + < M = 180
47+ 7x+21 = 180
Combine like terms
7x+68 = 180
Subtract 68
7x = 180-68
7x = 112
Divide by 7
7x/7 = 116/7
x =16
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:blue one dark
Step-by-step explanation: