In order to find the maximum of the function, we have to find the roots of the first derivative.
This gives us the time at which the ball reaches its maximum height.
We don't know s. We can find it because we know that at t=0 the ball is on the ground and its height has to be zero.
Finally, we can find the maximum height:
The answer is
C.
The height of the tower is 452.66 ft
<h3>What is angle of elevation and depression?</h3>
The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.
Given:
we have two angles one of which is angle of elevation and another angle depression.
Using trigonometric ratio,
tan ∅ = P / B
tan 32° = h / 425
0.624= h /425
h= 265.569 ft
again,
tan 29° = h(bottom of the tower) / 425
h(bottom of the tower) = 425 × tan 29°
h(bottom of the tower) = 235.581 ft
Thus, Height of tower = h(top of the tower) + h(bottom of the tower)
Height of tower = 265.569 + 235.581
Height of tower = 501.15 ft
Learn more about this concept here:
brainly.com/question/20890484
#SPJ1
Answer:
4,5,6
Step-by-step explanation:
*The sign of ≥ means that it must be greater or equal to 10 in this case
1). 3 isn't a possible solution due to 9 being less than 10
3+6_10
9_10
9<10
2). 4 is a possible solution due to the sum of 4 and 6 being equal to 10
4+6_10
10_10
10=10
3). 5 is a possible solution due to the sum of 5 and 6 being larger than 10
5+6_10
11_10
11>10
4).6 is a possible solution due to the sum of 6 and 6 being larger than 10
6+6_10
12_10
12>10
Hope this helped! (:
Answer:
B
Step-by-step explanation:
Use the Law of Cosines to find the measure of segment c:
c ≈ 23.01593821 km ≈ 23 km
Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:
![\frac{sin(A)}{a} =\frac{sin(C)}{c} \\\\\frac{sin(A)}{12}=\frac{sin(134)}{23.01593821}\\\\sin(A)=12(\frac{sin(134)}{23.01593821})\\\\A=sin^{-1}[12(\frac{sin(134)}{23.01593821})]\\\\](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%20%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D%20%5C%5C%5C%5C%5Cfrac%7Bsin%28A%29%7D%7B12%7D%3D%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%5C%5C%5C%5Csin%28A%29%3D12%28%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%29%5C%5C%5C%5CA%3Dsin%5E%7B-1%7D%5B12%28%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%29%5D%5C%5C%5C%5C)
A ≈ 22.02726885° ≈ 22°
Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.
Answer:
The slope-intercept form of the function is:
Step-by-step explanation:
Given the table
x y
1 8
2 13
3 18
4 23
Let us take two points (1, 8) and (2, 13) to find the slope
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
substituting the values m=5 and the point (1, 8) to determine the y-intercept i.e. 'b'.
8 = 5(1) + b
b = 8-5
Now, substituting the values m=5 and b=3 in the slope-intercept form to
Thus, the slope-intercept form of the function is:
