Back to 1.3 Radicals and Rational Exponents

1.3 Exercise 98

Avg difficulty 2.5

A guy wire for a suspension bridge runs from the ground diagonally to the top of the closest pylon to make a triangle. We can use the Pythagorean Theorem to find the length of guy wire needed. The square of the distance between the wire on the ground and the pylon on the ground is 90,000 feet. The square of the height of the pylon is 160,000 feet. So the length of the guy wire can be found by evaluating 90,000+160,000 . \sqrt{90,000 + 160,000} . What is the length of the guy wire?

OpenStax Algebra and Trigonometry 2e, 1.3 Radicals and Rational Exponents, exercise 98

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.