Answer:
The answer is LB= 8 feet
Step-by-step explanation:
ANSWER
The length of the shadow is 49 ft to nearest feet.
EXPLANATION
We can find the length of the shadow using the tangent ratio.
Recall that,
![\tan(27 \degree) = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%20%5Ctan%2827%20%5Cdegree%29%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20)
From the diagram, the length of the shadow is the side of the triangle that is adjacent to the 27° angle
![\tan(27 \degree) = \frac{45}{adjacent}](https://tex.z-dn.net/?f=%20%5Ctan%2827%20%5Cdegree%29%20%3D%20%5Cfrac%7B45%7D%7Badjacent%7D%20)
This implies that,
![adjacent = \frac{45}{tan27 \degree}](https://tex.z-dn.net/?f=adjacent%20%3D%20%5Cfrac%7B45%7D%7Btan27%20%5Cdegree%7D%20)
108 - 76 = 32
so your answer is, it's worth $32
20% of $19,400 is $3,880
($19,400 / 5 = $3,880)
subtract 20% from the original value
($19,400 - $3,880 = $15,520)
it's now worth $15,520