A surveyor measures the lengths of the sides of a triangular plot of land. What is the measure of the angle of the triangular pl
ot at which the surveyor stands? Approximate to the nearest degree.
cos–1(0.75) = 41°
cos–1(0.125) = 83°
cos–1(0.15) = 89°
2 answers:
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
a = 300 m
b = 250 m
c = 200 m
We need to find the measure of angle i.e. A
As we know the "Law of Cosine rules ":
![\cos A=\frac{b^2+c^2-a^c}{2bc}\\\\\cos A=\frac{250^2+200^2-300^2}{2\times 250\times 200}\\\\\cos A=\frac{12500}{100000}\\\\\cos A=0.125\\\\A=\cos^{-1}(0.125)\\\\A=82.81^\circ\\\\A\approx 83^\circ](https://tex.z-dn.net/?f=%5Ccos%20A%3D%5Cfrac%7Bb%5E2%2Bc%5E2-a%5Ec%7D%7B2bc%7D%5C%5C%5C%5C%5Ccos%20A%3D%5Cfrac%7B250%5E2%2B200%5E2-300%5E2%7D%7B2%5Ctimes%20250%5Ctimes%20200%7D%5C%5C%5C%5C%5Ccos%20A%3D%5Cfrac%7B12500%7D%7B100000%7D%5C%5C%5C%5C%5Ccos%20A%3D0.125%5C%5C%5C%5CA%3D%5Ccos%5E%7B-1%7D%280.125%29%5C%5C%5C%5CA%3D82.81%5E%5Ccirc%5C%5C%5C%5CA%5Capprox%2083%5E%5Ccirc)
Hence, Second option is correct.
The second one is correct
You might be interested in
Answer:
your answer will be ![\frac{1}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B36%7D)
Step-by-step explanation:
I hope this helps u have a nice day ^_^
It would cost about $2,838 y=c/2.2 c=the amount of copies
Answer:
5x - 13y + 2
Step-by-step explanation:
Given: 2x – 4y + 6 + 3x – 9y – 4
Combine all like terms:
5x - 13y + 2
Step-by-step explanation:
![\frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.063%7D%7B0.9%7D%20%20%3D%20x%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B0.021%7D%7B0.3%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B21%7D%7B300%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B7%7D%7B100%7D%20%20%5C%5C%20x%20%3D%200.07)