The answer is {4, 6, 8, 10, 12} - or B
<span><span><span>Angle A = </span>62°
</span><span><span>Angle B = </span>90°
</span><span><span>Side a = </span><span>45
The length of the board is side b
</span></span></span><span><span>Use the Law of Sines to find side b.</span><span>
b / sin(B) = a / sin(A)</span><span>
b / sin(90°) = 45 / sin(62°)</span><span>
b = (sin(90°) x 45) / sin(62°)</span><span>
b = 50.966
Rounded to the nearest inch is 51 inches.
Hope this helps!</span></span>
question 6,
Answer : 35.7 degree from north
Step-by-step explanation:
Bearing is angle w.r.t the north.
To calculate this angle we need the angle of the triangle in the diagram.
We know two sides of the triangle the base (18) and Perpendicular(25).
Tan(x) = 25/18
arctan(25/18) = 54.24 deg
Subtracting from 90 to get angle w.r.t north 90-54.24 = 35.7
Question 7,
Solution: 33.12
Explaination
calculate the length of the straw within the glass.
It makes a right angle triangle with the glass, where the length is the hypotenuse.
the base is 9 (radius *2 = 4.5*2)
using Cos(x) = base / hypotenuse
cos(72) = 9 /Hypotenuse
Hypotenuse = 9/cos(72)
Hypotenuse = 29.12
total length is hypotenuse + the length protruding out(4)
29.12 + 4 = 33.12
A.) rectangle would be the correct answer
