answer: m=1
work:
3/2 + 2m = 7/2
3/2 (-3/2) + 2m = 7/2 (-3/2) subtract 3/2 from both sides
2m = 2
2m/2 = 2/2 divide 2 on both sides
m = 1
<u>We are given:</u>
a right angled triangle with the angle of elevation = 20 degrees
Hypotenuse of the Triangle = 500 m
<u>Finding the change in Elevation:</u>
We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle
Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees
Perpendicular = 500 * 0.342 <em>[sin(20 degrees) = 0.342]</em>
Perpendicular = 171 m
The closest value to 171m in the given options is 170m
Therefore, 170m <em>(option B)</em> is correct
Paula will have run 2 1/2 + 2 1/2 = 5 miles in that hour, so her average speed is ...
... 5 miles per hour
_____
60 minutes is 1 hour.
