To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, mea
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Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,
Furthermore,
Finding PR and RS,
Then,
Solving for PS,
Solve the quadratic equation in terms of PS, as shown below
And PS is a segment; therefore, it has to be positive.
Hence, the answer is PS=6
Here is the anwser to the problem
We have to use Pythagorean theorem that says :
The missing length of the triangle is : 36 feet
The missing length of the triangle is : 36 feet