The people of Bridgetown wanted to build a bridge across a nearby river. Since they were poor swimmers, their
1 answer:
Answer:
8.39 meters
Step-by-step explanation:
The angle is opposite the side of interest of the right triangle representing the geometry. The adjacent side is known, so the tangent function can be useful.
Tan = Opposite/Adjacent
tan(40°) = width/(10 m) . . . . . filling in given values
(10 m)·tan(40°) = width ≈ 8.390996 m ≈ 8.39 m
The width of the river is about 8.39 meters.
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Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k
parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t
Step-by-step explanation: The vector equation is a line of the form:
r = + t.v
where
is the position vector;
v is the vector;
For point (7,4,5):
= 7i + 4j + 5k
Then, the equation is:
r = 7i + 4j + 5k + t(3i + 2j - k)
<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>
The parametric equations of the line are of the form:
x = + at
y = + bt
z = + ct
So, the parametric equations are:
<em><u>x = 7 + 3t</u></em>
<em><u>y = 4 + 2t</u></em>
<em><u>z = 5 - 5t</u></em>
Answer:
Step 1
Step-by-step explanation:
it should've been 4×