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:169pi
Step-by-step explanation:
Circumference(c)=26pi
Circumference(c)=2 x pi x radius(r)
26pi=2pi x r
Divide both sides by 2pi
26pi/2pi=(2pi x r)/2pi
13=r
Radius(r)=13
Area of circle=pi x r^2
area of circle=pi x 13^2
Area of circle=169pi
No it will not change it will be 250% then it will decrease 100% down again back to 150%
