The rate of change of Pete's height from 3 to 5 years can be determined as,

Thus, the required rate of change from 3 to 5 years is 4 in/year.
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
Answer:3.25 gallons
Step-by-step explanation:48 miles÷2 gallons =24 miles
Every 24 miles equals 1 gallon
So 78 ÷ 24= 3.25
3.25 gallons
<span>Let us suppose that two particles A and B start moving. Particle A starts moving at time t = 0 and velocity v. At time t, particle B has twice acceleration, half velocity and same position as the particle A has at time t=0. </span>
So, position of particle B depends on time
<span>The equation of motion can be written as:</span>