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Oliga [24]
3 years ago
11

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

Mathematics
1 answer:
Vikki [24]3 years ago
6 0
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. 

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