You are multiplying 975 by 0.034
33.15
Given:
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
To find:
The length of k, to the nearest inch.
Solution:
According to Law of sine,
![\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7B%5Csin%20A%7D%3D%5Cdfrac%7Bb%7D%7B%5Csin%20B%7D%3D%5Cdfrac%7Bc%7D%7B%5Csin%20C%7D)
In ΔKLM, using law of sine, we get
![\dfrac{k}{\sin K}=\dfrac{l}{\sin L}](https://tex.z-dn.net/?f=%5Cdfrac%7Bk%7D%7B%5Csin%20K%7D%3D%5Cdfrac%7Bl%7D%7B%5Csin%20L%7D)
![\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bk%7D%7B%5Csin%20%2855%5E%5Ccirc%29%7D%3D%5Cdfrac%7B48%7D%7B%5Csin%20%2846%5E%5Ccirc%29%7D)
![k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B48%5Ctimes%20%5Csin%20%2855%5E%5Ccirc%29%7D%7B%5Csin%20%2846%5E%5Ccirc%29%7D)
On further simplification, we get
![k=\dfrac{48\times 0.819152}{0.7193398}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B48%5Ctimes%200.819152%7D%7B0.7193398%7D)
![k=\dfrac{39.319296}{0.7193398}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B39.319296%7D%7B0.7193398%7D)
![k=54.66025 ](https://tex.z-dn.net/?f=k%3D54.66025%0A)
Approximate the value to the nearest inch.
![k\approx 55 ](https://tex.z-dn.net/?f=k%5Capprox%2055%0A)
Therefore, the length of k is 55 inch.
Answer:
D
Step-by-step explanation:
Answer:
S=4.5
Step-by-step explanation:
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