If r 10 and y 31 find R Round to the nearest tenth R 171

If r = 10 and y = 31, find R. Round to the nearest tenth. R = 17.1 degree R = 19.1 degree R = 17.9 degree R = 16.1 degree

Solution

We need angle R

With respect to angle R,
r = opp = 10
and s = adj = 31

So, using SOH-CAH-TOA,
since tan is the one that links opp and adj, we do :

tanR = opp/adj

tanR = 10/32

R = arctan(10/31)

R = 17.8787 degrees

So, option C