Im trying to figure out these stupid inverse functions in trig. I know Soh Cah Toa. And im good with that but now its stuff where instead of being given the value of your angle (theta) and the value of one length and you find the rest. Its 2 lengths and you find the angle.

So heres the problem:

A cable 4m long is attached to a pole. This cable is staked to the ground 1.75m from the base of the pole. Find the angle that the cable makes with the ground.

I used the bottom left angle as my theta. I think its the Sin -1 function i have to use since sin is opposite over hypotenuse.

So what i thought to so was Sin -1( 1.75 divided by 4

I came up with 25.94 (rounded slightly)

/ |

4 / |

/ | 1.75

/ |

/ |

/_______|

Can somebody tell me if this is right or not?