Question

In NOP,the measure of p=90 the measure of n=59 and PN=7.4 feet.Find the length of OP to the nearest tenth of a foot

Answer 1

12.3 feet

Explanation:

Given

<P = 90 degrees

<N = 59 degrees

PN = 7.4 feet

Required

OP

NO = hypotenuse

OP = adjacent

PN = opposite = 7.4

Using SoH CAH TOA identity

tan <O =PN/OP

tan (180-149) = 7.4/OP

tan 31 = 7.4/OP

OP = 7.4/tan 31

OP = 7.4/0.600

OP = 12.3 feet (to the nearest tenth)