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Chapter 8: Q. 13 (page 527)

Solve each triangle.

Short Answer

Expert verified

The solution isC=95掳,a鈮�6.4,c鈮�9.9.

Step by step solution

01

Step 1. Given information 

02

Step 2. Calculation 

We know,

A+B+C=180掳

40掳+45掳+C=180掳

C=95掳

Now use Law of Sines -

role="math" localid="1646915867886" sinAa=sinBb and role="math" localid="1646915916555" sinBb=sinCc

sin40掳a=sin45掳7 role="math" localid="1646915973695" sin45掳7=sin95掳c

7sin40掳sin45掳=a c=7sin95掳sin45掳

6.4鈮�a c鈮�9.9

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Most popular questions from this chapter

Great Pyramid of Cheops One of the original Seven Wonders of the World, the Great Pyramid of Cheops was built about 2580 bc. Its original height was 480 feet 11 inches,

but owing to the loss of its topmost stones, it is now shorter. Find the current height of the Great Pyramid using the information given in the illustration.

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Find the area of the triangle. Round answer to two decimal places.

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