On the unit circle: the end of the terminal side of a 90 degree angle is (1,0) where 1 is the value of sin(90°) and 0 is the value of cos(90°)
On the graph of sine: 90° =

radians. if f(x) = sin(x) in radians, f(

) = 1/2
Answer:
see explanation
Step-by-step explanation:
Given
+ 2c + 11
=
-
+ 2c + 11
= 3c - 1 + 2c + 11
= 5c + 10
(b)
We have the expression
5c + 10 ← factor out 5 from each term
= 5(c + 2)
To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time to reach max height = 5 seconds
time it will reach the ground = 10 s