A guide wire for a palm tree makes a 32°angle with the ground and is staked 6 feet from the base of the tree. What is the length
, to the nearest tenth of a foot, of the guide wire from the ground to the palm tree? A. 7.1, B. 8.5, C. 9.6, D. 11.3
2 answers:
Answer:
Answer is 9.6
Step-by-step explanation:
From the illustration above. See attachment for interpretation of this illustration.
To find the part label a in the attachment which is the length of the foot of the guide wire from the ground to the palm tree, we apply the sine rule, which says
a/sineA = b/sineB
In this case
a = ? , A = 58° , b = 6ft, B = 32°
So
a/sine58 = 6/sine32
a/0.848 = 6/0.5299
a = 6*0.848/0.5299
a = 5.088/0.5299
a = 9.601 ~ 9.6
You might be interested in
Answer:
10.4
Step-by-step explanation:
Let the number be x
Sum of x and -3.2 : x + (-3.2) = x - 3.2
1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)
x = 10.4
I'll assume the usual definition of set difference, .
Let . Then
and
. If
, then
and
. This means
and
, so it follows that
. Hence
.
Now let . Then
and
. By definition of set difference,
and
. Since
, we have
, and so
. Hence
.
The two sets are subsets of one another, so they must be equal.
The proof of this is the same as above, you just have to indicate that membership, of lack thereof, holds for all indices .
Proof of one direction for example:
Let . Then
and
, which in turn means
for all
. This means
, and
, and so on, where
, for all
. This means
, and
, and so on, so
. Hence
.
Answer:
cos X =
Step-by-step explanation:
simplify 15/39