Imagine the unit circle. The cot(theta) is a line from (0,1) to (-4,1). Imagine it is part of a triangle with the origin (draw it!).
Then the hypotenuse length is √(1+4²) = √17.
The sine rule says that sin(90)/√17 must equal sin(theta)/4, and sin(90)=1, so
Step-by-step explanation:
<em>If the dog could fly, it would need to fly 147 meters to catch the helicopter</em>
This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.
Using pythagoras theorem, we have
120² + 85² = c²
c² = 14400 + 7225
c² = 21625
c = 
c = ±147 meters.
Since distance cant be in the negative, our answer is 147 m
read more about pythagoras theorem here brainly.com/question/15138986
