I would use the Law of Sines to solve this problem.
The angle next to the 58 degree angle is 122 degrees. The side opposite this angle is 3.72 km.
The angle we need to find is at the cave. The side opposite this angle is 2.60 km.
(Sin 122/3.72) = (Sin x/2.60)
Cross multiply to solve.
3.72 Sin x = 2.60 Sin 122
Divide both sides by 3.72
Sin x = (2.60 Sin 122)/3.72
Sin^-1 x = (2.60Sin122)/3.72
x = 36 degrees
Answer:
46
Step-by-step explanation:
if you round to the nearest whole, look at the tenths place and if it is bigger than 4, then then you round up, like 7043.7305 to 7044 but if the tenths place is smaller than 5, the number stays the same but the decimal part is gone, like 350.24569405 to 350.
z = (x - μ)/σ
Substituting given values, you have
3.6 = (x - 132)/20
(20)(3.6) = x - 132 . . . . multiply by 20
72 + 132 = x . . . . . . . . .add 132
204 = x
The value that has a z-score of 3.6 is 204.
-1(5x+1)
-5x-1
the (-) in front is just a short way to put (-1)