3 years ago

Please answer this question full

1 answer:

7 0

(5x-2) + (2x+6) = 67, so we simplify and solve for x:
7x + 4 = 67 --> 7x = 63 --> x = 9

Now we substitute 9 for x in (5x-2):
5(9) - 2 --> 45 - 2 = 43

The distance between A and B is 43 miles.
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To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit 8 feet tall, mea

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Refer to the figure.
Let AB be the height of the pole; CD be the height of the transit; BC is the distance from the base of the pole to the transit.

Triangle ADE is a right triangle with angle D measuring 26 degrees. Using the tangent function, we have
$tan\:26^{\circ} =\frac{AE}{120}$
So,
$AE=120\:tan\:26^{\circ}$
$AE=58.53\:$

Therefore, the overall height of the pole is
$AB=58.53+8=66.53\:feet$

The height of the pole is 66.53 feet.