6.875 inches, you divide the fraction to get a decimal
Hello from MrBillDoesMath!
Answer:
See Discussion below
Discussion:
It means
"two" "times" "the difference between 49.5 and 37.5
2 * ( 49.5 - 37.5)
this equals 2 * (12) = 24
Thank you,
MrB
Answer:12.59
Step-by-step explanation:
enter image source here
From the diagram you can see that we have constructed a right triangle, with height A and base 15.
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is
40
∘
. Using this angle and the tangent ratio, we can find A.
tan
(
40
∘
)
=
opposite
adjacent
=
A
15
∴
tan
(
40
∘
)
=
A
15
Rearranging:
A
=
15
tan
(
40
∘
)
By calculator:
A
=
12.59
feet. ( 2 d.p.)
Given that the height of the disc is modeled by the function:
h=-16t^2+20t+6
a] The maximum height will be as follows:
At maximum height:
h'(t)=0
from h(t)
h'(t)=-32t+20=0
thus
t=20/32
t=5/8 sec
thus the maximum height will be:
h(5/8)=-16(5/8)^2+20(5/8)+6
=12.25 ft
b] <span>How long will it take the disc to reach the maximum height?
</span>time taken to reach maximum height will be:
from h(t)
h'(t)=-32t+20=0
thus
t=20/32
t=5/8 sec
thus time taken to reach maximum height is t=5/8 sec
c]<span>How long does it take for the disc to be caught 3 feet off the ground?
</span>h(t)=-16t^2+20t+6
but
h(t)=3
thus
3=-16t^2+20t+6
solving for t we get:
0=-16t^2+20t+3
factoring the above we get:
t=5/8-/+√37/8
t=-1.5256 or 2.776
since there is no negative time we pick t=2.776
Hence time taken for the disc to be caught 3 ft from the ground is 2.776 ft
