NEIGHBORS Amy, Barry, and Chris live on the same block. Chris lives up the stree

Question

NEIGHBORS Amy, Barry, and Chris live on the same block. Chris lives up the street and around the comer from Amy, and Barry lives at the comer between Amy and Chris. The three homes are the vertices of a right triangle. Give two trigonometric expressions for the ratio of Barry's distance from Amy to Chris' distance from Amy. Give two trigonometric expressions for the ratio of Barry's distance from Chris to Amy's distance from Chris. Give a trigonometric expression for the ratio of Amy's distance from Barry to Chris' distance from Barry.

Explanation / Answer

we know that in right triangle cos theta= base/hypoteneous and sin theta= height/hypoteneous

Let ditancee between amyand Chris =y

Ratio Of barry's distance from amy to chris distance from amy

=y cos26/y=cos26=0.64

or = ysin64/y=0.64

B.barrys distance from chris to amys distance from chris=y cos64/y=cos 64=0.391

or = ysin26/y=0.391

C. Amys distance from barry to chris distance form barry=ycos26/ysin26=1.17

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