In ΔMNO, the measure of ∠O=90°, the measure of ∠M=66°, and NO = 60 feet. Find the length of MN to the nearest tenth of a foot.

65.7

Step-by-step explanation:

sinM=

hypotenuse

opposite

​

=

x

60

​

sin

⁡

66

=

60

x

sin66=

x

60

​

x

sin

⁡

66

=

60

xsin66=60

x

sin

⁡

66

sin

⁡

66

=

60

sin

⁡

66

sin66

xsin66

​

=

sin66

60

​

x

=

60

sin

⁡

66

=

65.6782

≈

65.7

feet

x=

sin66

60

​

=65.6782≈65.7 feet

67

Step-by-step explanation:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: