Answer:
Rounded to the nearest tenth: in
Rounded to the nearest hundredth: in
Step-by-step explanation:
We have a right triangle with a given angle of 35°. We also have the opposite side of that angle, , and its hypotenuse 10 in. To find
, we are using the trig function that relates the opposite side with the hypotenuse; in other words, the sine trig function.
Rounded to the nearest tenth: in
Rounded to the nearest hundredth: in
The coordinates of point E is (-2, -1.5)
<h3>How to determine the coordinates of point E?</h3>The complete question is added as an attachment
The given parameters are
C = (1, 6)
D = (-3, -4)
The ratio 3/4 can be represented as:
m : n = 3 : 1
So, the coordinate of point E is
E = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)
Evaluate
E = 1/(4) * (-8, -6)
This gives
E = (-2, -1.5)
Hence, the coordinates of point E is (-2, -1.5)
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