8. Students are planning a flower garden around the perimeter of the triangular base of a statue. They know the following information: The statue's base is a right triangle; the lengths of the two legs are each 5.657 meters; and both of the acute angles are 45°. Find the length of the hypotenuse of the triangular base. What is the perimeter of the base of the statue? Use your A calculator to find the cosine of 45°. continued Ca B

8. Students are planning a flower garden around the perimeter of the triangular base of a statue. They know the following information: The statue's base is a right triangle; the lengths of the two legs are each 5.657 meters; and both of the acute angles are 45°. Find the length of the hypotenuse of the triangular base. What is the perimeter of the base of the statue? Use your A calculator to find the cosine of 45°. continued Ca B

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

8. Students are planning a flower garden around the perimeter of the triangular base of a statue.
They know the following information: The statue's base is a right triangle; the lengths of the
two legs are each 5.657 meters; and both of the acute angles are 45°. Find the length of the
hypotenuse of the triangular base. What is the perimeter of the base of the statue? Use your
calculator to find the cosine of 45°.
|continued

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