Question

I dont inderstand this at all

Answer 1

17] The distance, x, between the farmhouse and water tower will be given by:
Tan θ=opposite/adjacent
adjacent=opposite/tan θ
thus:
x=500/tan 12-500/tan 16
x=500/0.2126-500/0.2868
x=608.61 yd
~609 yd

Answer: D] about 609 yd

18] The angle of depression will be:
tan θ=opposite/adjacent
thus
tan θ=0.5/13
tan θ=0.0385
θ=arctan 0.0385
θ=2.2°

19] This will be evaluated like #17 above.
Tan θ=opposite/adjacent 
adjacent=opposite/tan θ
thus
x=95/tan 31-95/tan42
x=95/0.6009-95/0.9004
x=52.598
~53

answer: A] about 53

20] The horizontal length will be calculated as follows:
sin θ=opposite/hypotenuse
opposite=73 m
hypotenuse=177 m
thus
sinθ=73/177
sinθ=0.4124
θ=arcsin 0.4124
θ=24.357~24.4°

Answer: D]24.4°