Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Test - Page 51: 7

Answer

Length of escalator = $15 \sqrt 2$ $\approx 21.21$ feet

Work Step by Step

This is an classic example of 45°–45°–90° triangle in which shorter side is given and length of hypotenuse is to be calculated. Given vertical distance i.e. shorter side = 15 feet In a 45°–45°–90° triangle, length of hypotenuse is $\sqrt 2$ times the length of shorter side, Hence- Length of escalator = $15 \times \sqrt 2$ $\approx 21.21$ feet
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