The hypotenuse is 10ft. Find the length of the orange segment.

the vertical orange segment measures approximately 8.66 ft

Step-by-step explanation:

Use the sine function to find the lengths of the orange vertical segment.

Recall that the sine functions is defined as the quotient between the opposite side to a given acute angle in a right angle triangle and its hypotenuse. That is:

So in our case, the angle is 60 degrees, and the hypotenuse is 10 ft, so this equation becomes:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.