Find the exact value of sin(o)

a. 0.0161
b. 0.7975
c. 12/13
d. 12/5

The correct answer option is C. 12/13.

Step-by-step explanation:

We are given a right angled triangle with two known sides and we are to find the measure of the angle O.

For finding the measure of O, we will use sine for which we need to find the value of the value of the hypotenuse (MO).

Now that we know the length of the hypotenuse, we can find sin (O).

Therefore, the correct answer option is C. 12/13.

c

Step-by-step explanation:

We require to find the length of the hypotenuse (h)

Using Pythagoras' identity in the right triangle

h² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )

h = = 13

sinO = = =

25

step-by-step explanation:

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.