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In triangle PQR, we have angle P=90°, QR= 20, and Tan R = 4sinR. What is PR?

 Aug 26, 2021
 #1
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tan R = sin R/cos R

sin R/cos R = 4 sin R

cos R = 1/4

PQ = 5

 

so by Pythagoras

PR = 5*sqrt(15)

 Aug 26, 2021
 #2
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Sorry that's incorrect :(

 Aug 26, 2021
 #3
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angle R = 75.52248781º

 

PR = 20 * cos(R) = 5

 

PQ = 19.36491673

 Aug 27, 2021

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