Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.
9514 1404 393
Answer:
103°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°
Obtuse angle C is about 103°.
Your answer will be 1733.489333ft³
When rounding it will be
1733.1ft³
My rounding might be wrong
Hope it helps : )
Answer:
she brought 21 shirts and 2 pants
Step-by-step explanation:
shirts
21× 14.50 = $ 304.5
357- 304.5 = $ 52.5
pants
52.5÷ 25 = 2.1
D-7<span>≤ 3
add 7 to both sides
d</span><span>≤10</span>