One lap around a track is ½ mile. It takes Bryan ⅛ hour to ride one lap. What is Bryan’s mile per hour?
1 answer:
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Answer:
55%
Step-by-step explanation:
Since Anna earned 22 points, and there was a total of 40 points, this means that she scored 22 out of 40 points. You can simplify this by dividing the denominator and numerator by 2. Then, you can multiply both the numerator and denominator by 5 to get a number out of 100.
The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.
First we will draw a right angle triangle ΔABC, where ∠B = 90°
Lets, assume the height(AB) = h and base(BC)= x
If the angle of elevation, ∠ACB = α, then
tan(α) =
Taking inverse trigonometric function, α = tan⁻¹ () .............(1)
As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :
Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,
that means h = 40 feet and = 10 feet/second.
C is the observer's position which is 50 feet away from the point B, so x = 50 feet.
= 0.12 (Rounding up to two decimal places)
So, the rate of change of the angle of elevation is 0.12 radians/second.
