Question

If the angle between each blade of the wind turbine is the same and each blade has a length of 30 meters, find the distance between the tips of two blades. Round the answer to the nearest hundredth, if necessary.

A. 30 meters



B. 42.43 meters

C. 51.96 meters

D. 120 meters

Answer 1

Okay so you have three blades, so the angle between them is 120°. Which also means that those small angles at the base are 30°. By the Law of Sines we can say:

d/sin120=b/sin30

d=bsin120/sin30 we know that b=30m so

d=30sin120/sin30 m

d≈51.96 m (to nearest hundredth of a meter)