College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Appendix I - D Trigonometric Relationships - Law of Sines - Appendix I-D Exercises on Trigonometry - Page A-5: 5

Answer

a). $4.65 cm, 9.97cm$, b). $23.18cm^{2}$, c). $25.62cm$.

Work Step by Step

a). Two known angles are $90^{\circ}$ and $25^{\circ}$. So, the third angle is $65^{\circ}$, since sum of angles of a triangle is $180^{\circ}$ Hypotenuse = 11cm. So, other sides =$11cos65^{\circ}=4.65 cm$ and $11sin 65^{\circ}=9.97cm$ b). Area=$0.5\times4.65\times9.97cm^{2}=23.18cm^{2}$ c). Perimeter = $11+4.65+9.97=25.62cm$
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