Question

Find the value of P, rounded to the nearest tenth

Answers :
A.) 26.3
B.) 46.1
C.)32.5
D.)51.9

Answer 1

we know that

In a right triangle NPM

cos 71°=adjacent side angle 71°/hypotenuse

adjacent side angle 71°=side NP

hypotenuse=side NM

NP=15

NM=p

so

cos 71=NP/NM

cos 71=15/p

solve for p

p=15/cos 71°

p=46.07----------->p=46.1 units

therefore

the answer is

46.1