A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between
1 answer:
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Answer:
C.) 14
Step-by-step explanation:
Look at the triangle: angles b and c have the same arch, so they are congruent.
In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.
The sides opposite the congruent angles are congruent:
∠B → opposite side → AC
∠C → opposite side → AB
The sides AB and AC are equal. Make an equation:
Simplify the equation, solving for x. Add 7 to both sides:
Subtract 2x from both sides:
The value of x is 7. Insert the value of x into the given length of AC:
Simplify multiplication:
Subtract:
Therefore, the length of the line segment AC is 14.
:Done
Answer:
Horizontal component = 9.6
Step-by-step explanation:
Recall that the horizontal component is given by the cosine projection;
which in our case (using the fact that in each degree of angle one has 60 minutes of angle, and therefore 30 minutes of angles is the same as 0.5 degrees) becomes:
And rounding to the nearest tenth as requested, we have: