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
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Answer:
Step-by-step explanation:
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I hope this helps!
Given coordinates of the endpoints of a line segment (5,-9) and (1,3).
In order to find the equation of perpendicular line, we need to find the slope between given coordinates.
Slope between (5,-9) and (1,3) is :
Slope of the perpendicular line is reciprocal and opposite in sign.
Therefore, slope of the perpendicular line = 1/3.
Now, we need to find the midpoint of the given coordinates.
Let us apply point-slope form of the linear equation:
y-y1 = m(x-x1)
y - (-3) = 1/3 (x - 3)
y +3 = 1/3 x - 1
Subtracting 3 from both sides, we get
y +3-3 = 1/3 x - 1 -3
<h3>y = 1/3 x - 4 .</h3>