Answer:
Option 4
Step-by-step explanation:
=> The length of DE = EF will prove that DEF is an isosceles triangle (having two sides equal)
=> Their slopes being the opposite reciprocals will prove that they are perpendicular to eachother and DEF is a right angled triangle.
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
The sum of three and a number is 3+x
Step-by-step explanation:
12x-8=64
we transposed
12x=64+8
12x=72
we divide both by 12
12x/12=72/12
x= 6
SinC=9/41
cosC=40/41
tanC=41/9
