History W History Bookmarks People Window Help oidahoma A&M; x (B homeworks cs 1

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History W History Bookmarks People Window Help oidahoma A&M; x (B homeworks cs 111 x Google e www.webassign.net/web/Student/Assignment- esponses 15306138 25% C43 Mon 9:28 PM Q. 5.5 Law of sines O -1 points SAgTrig4 5.5.034. Points A and Bare separated by a lake. My Notes o Ask Your Teacher CB as To find the distance between them, a surveyor locates a point Con land such that CAB 48.1. He also measures CA as 318 ft and 527 ft. Find the distance between A and B. (Round your answer to one decimal place.) O-1 points SAgTrig4 55037. A tree on a hillside casts a shadow c 215 ft down the hill. If My Note. O Teacher find the height of the tree. (Round the angle of inclination of the hillside is b 2se to the horizontal and the angle elevation of the sun is a ss your answer to the nearest foot.) of

Explanation / Answer

Solution:

Draw triangle ABC.

First find angle B using law of sines:

sinB/318 = (sin48.1) /527
318* sin(48.1) / 527 = sinB

.4491 = sin B

B = arcsin(.4491) = 26.7 degrees
C = 180 - 26.7 - 48.1 = 105.2 degrees

now use law of sines again to find AB:

Sin(48.1)/527= sin(105.2)/ AB

AB = 527sin(105.2)/sin(48.1) = 683.3 ft

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