Okay so the answer would be
Answer: 4 / 5
Explanation:
1) For a right triangle, the ratio sine is defined as:
sin(x) = opposite-leg / hypotenuse
2) x is the angle. In this case: A
3) As per the figure, the opposite leg to tha angle A measures 28
4) As per the figure, the hypotenuse measures 35
5) Calculations:
sin(A) = 28 / 35
Simplify dividing both numerator and denominator by 7 => 28/35 = 4/5
Angle BDC is given as 38° but not drawn in the figure. Amateurs.
We calculate angle DBC
DBC = 180° - 96° - 38° = 180° - 134°
We won't bother subtracting because we're really after
angle ABD = 180° - DBC = 134°
Now we have a Law of Cosines situation,
AD² = AB² + BD² - 2(AB)(BD) cos ABD
AD = √( 5.8² + 27.3² - 2(5.8)(27.3) cos 134°)
AD ≈ 31.61 m
Answer: 31.6 m
Answer: A
Explanation:
The square root of 45 is 6.70
_
8 5/6 as a decimal is 8.83
The absolute value of -23 is 23.
Log(1/216)^(x+2) = log 6^12
(x+2) log(1/216) = log 6^12
xlog(1/216) + 2log(1/216) = log6^12
xlog(1/216) = log6^12 - 2log(1/216)
x = [log6^12-2log(1/216] / log(1/216)
x = -6
