As we move from point Z to point Y, x increases by 8 and y increases by 3. Thus the length of line segment ZY is sqrt(8^2 + 3^2) = sqrt(73), by the Pythagorean Theorem. That's approx. 8.54.
You could also leave your answer in the form √(8^2 + 3^2).
Answer:
∠2 = 18°
Step-by-step explanation:
∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2
∠WXZ = 3∠2 + ∠2, that is
72 = 4∠2 ( divide both sides by 4 )
18 = ∠2, that is
∠2 = 18°
We can find the height of the altitude by the ratio of sin. See my attachment.
sin of angle = side in front of the angle / hypotenuse
sin x = height/distance
If the two pilot is rising in an hour, then the first distance is 400 miles, the second distance is 300 miles.
Find the height of first pilotheight/distance = sin x
height/400 = sin 30°
height = sin 30° × 400
height = 1/2 × 400
height = 200
Find the height of second pilotheight/distance = sin x
height/300 = sin 40°
height = sin 40° × 300
height = 0.642 × 300
height = 192
So the first pilot traveling 400 mph with 30° is more quickly to reach high altitude than the second pilot traveling 300 mph with 40°
Answer:
108 degrees.
Step-by-step explanation:
2x + 16 = 3x - 12 (corresponding angles; AB parallel to CD).
16 + 12 = 3x - 2x
x = 28.
So the angle marked 3x - 12 = 3(28) - 12
= 72 degrees.
Angle y is adjacent to the angle so
y = 180 - 72
= 108 degrees.
no it is not simplified because there are two y values