Pythagorean therom!
east and the north make a right angle
a^2 + b^2 = c^2
(11)^2 + (2)^2 = c^2
121 + 4 = c^2
125 = c^2
11.2 miles = c
Answer:
x=28°
y=152°
Step-by-step explanation:
x=28°
y=152°
I hope this helps you
if 18 gallons for 420 miles
? gallons for 357 miles
?.420=18.357
?=15,3
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
