Belle is sitting in her 45 ft tall ranger station when she sees her friend Tommy waving up to her. She uses a clinometer to determine that the angle of depression to Tommy is 40 degrees. How far apart are Tommy and Belle?

70 ft

Step-by-step explanation:

let the distance be x.

then 45/x=sin 40

x=45/sin 40≈70

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: