The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)
We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft
Answer:
324?
Step-by-step explanation:
Length of the model = 11.6 inch
Coordinate 1 is : (0,3)
Coordinate 2 is : (-4,-2)
Coordinate 3 is : (-1,-5)
Coordinate 4 is (4,0)
Hope this helps!
The balance B at the end of time t is given by
B = P +Prt
8250 = 6000 +6000*r*12.5 . . . . substitute the given information
2250 = 6000*r*12.5 . . . . . . . . . . .subtract 6000
2250/(6000*12.5) = r . . . . . . . . . .divide by the coefficient of r
r = .03 = 3%
Clint earned 3% annual simple interest on his savings.