Answer:
the length of the hypotenuse is 14 in
Step-by-step explanation:
Focus on the 30 degree angle. Recall that the sine of an angle is defined as
opposite side
sin Ф = ----------------------
hypotenuse
and that sin 30° is always 1/2.
7 in 1
Then sin 30° = ------------------- must equal -----
hypotenuse 2
After cross-multiplying this equation, we have 2(7 in) = (1)(hypotenuse),
so that the length of the hypotenuse is 14 in.
