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
sures the angle of elevation to the top of the pole to be 26. to the nearest foot, what is the height of the pole
1 answer:
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
So,
Therefore, the overall height of the pole is
The height of the pole is 66.53 feet.
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
So,
Therefore, the overall height of the pole is
The height of the pole is 66.53 feet.
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so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.
now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".
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