In this case we know the three sides of the triangle, then this is a SSS triangle (Side Side Side). To solve this case, first we must use the Law of Cosines, applied to the opposite side to the angle we want to find.
We want to find angle W, and its opposite side is XV, then we apply the Law of Cosines to the side XV:
XV^2=XW^2+WV^2-2(XW)(WV)cos W
Replacing the known values:
116^2=96^2+89^2-2(96)(89)cos W
Solving for W
13,456=9,216+7,921-17,088 cos W
13,456=17,137-17,088 cos W
13,456-17,137=17,137-17,088 cos W-17,137
-3,681=-17,088 cos W
(-3,681)/(-17,088)=(-17,088 cos W)/(-17,088)
0.215414326=cos W
cos W = 0.215414326
Solving for W:
W= cos^(-1) 0.215414326
Using the calculator:
W=77.56016397°
Rounded to one decimal place:
W=77.6°
Answer: Third option 77.6°
Reflection across the line y= x, cause to interchange the x and y coordinate
p(x,y) ⇒ p(y,x)
This is good information, but the question part is missing. Put the question in the comments and I'll try my best to help!
<span>The value of the digit in the tenths place is 7. The value of the digit in the hundredths place is 7. The first number to the right of the decimal is in the tenths place and the second number to the right is in the hundredths place. The 0 is in the ones place and is the first number to the left of the decimal.</span>
Answer:
5.25 miles
Step-by-step explanation:
We are required to determine the distance between Lighthouse A and Lighthouse B in the diagram.
Using Law of Cosines
The distance between lighthouses is 5.25 miles.
