to the nearest hundredth of a centimeter what is the length

to the nearest hundredth of a centimeter what is the length of the hypotenuse of a triangle with a 30 degree angle and a 53.57 base?

to the nearest hundredth of a centimeter what is the length of the hypotenuse of a triangle with a 30 degree angle and a leg of 32.63?

Solution

-------30 degree angle and a 53.57 base

Apply cosine function : cos30 = base/hypotenuse

hypotenuse = base*cos30 = 53.57*cos30 = 46.39 cm

-------30 degree angle and a leg of 32.63

apply sin function: sin30 = leg/hypotenuse

hypo = sin30*leg = 0.5*32.63 = 16.32 cm

hypotunse