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45 votes
Find x giving your answer to 1 decimal place

Find x giving your answer to 1 decimal place-example-1
User Florian Schaal
by
2.2k points

2 Answers

20 votes
20 votes

Answer:

x is 10.8 cm

Explanation:

from Lami's theorem:


(7)/( \sin(40 \degree) ) = (x)/( \sin(81 \degree) ) \\ \\ x = (7 \sin(81 \degree) )/( \sin(40 \degree) ) \\ \\ x = 10.8 \: cm

User Cowbert
by
2.5k points
21 votes
21 votes

Explanation:


( \sin(81) )/(x) = ( \sin(40) )/(7) \\ x * \sin(40) = 7 * \sin(81) \\ x = (7 * \sin(81) )/( \sin(40) ) = 10.75 = 10.8 \: cm

User Matt Goddard
by
2.8k points