Answer:
Height of the building = 50.8 ft
Step-by-step explanation:
A person and a building are casting the shadows at the same time of the day.
Triangles formed by the person and his shadow and the building and its shadow will be similar.
Therefore, corresponding sides of the similar triangles will be proportional.
x = 
x = 50.75
x ≈ 50.8 ft
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
Answer:
111
t + 11
x
Step-by-step explanation:
Answer:
114.8
Step-by-step explanation:
