Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 11 - Review Exercises: 29

Answer

The grade of the hill is 3:7 or 3 to 7.

Work Step by Step

1. Find the $\angle B$ in $\triangle ABC $ $\angle B = 180 - (90 + 23)$ (Angles in a triangle add to 180˚) $\angle B = 180 - 113$ $\angle B = 67˚$ $\angle A = 23˚$ (Given) $\angle C = 90˚$ (Given) 2. Use the sine law to find the value of b $\frac{b}{sin67} = \frac{3}{sin23}$ $b = \frac{3sin67}{sin23}$ $b = \frac{2.6715...}{0.39073...}$ $b = \frac{2.6715...}{0.39073...}$ $ b = 7.067 ft$ $b \approx7$ ft 3. Take the a and b value to find the grade Grade $ = a$ to $b$ Grade $= 3 $ ft to $7$ ft
Small 1467014214
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.