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:
Step-by-step explanation:
Given
--- volume
Required
The surface area as a function of base length
The volume (V) is calculated as:
Make y the subject
Substitute 3 for V
The surface area of the open box is:
Substitute:
Hence, the function is:
Answer: 10
Step-by-step explanation: We can just count the number of vertices in the star and each vertex makes an angle. There are ten vertices in a star and thus ten angles.
Answer:
Step-by-step explanation:
We will try both by doing addition :
1341+625+0=1966
and
1/2*1341+625=2591/2=1295.5
As 1966 is greater then 1295.5 so 1341+625+0 is greater then 1/2*1341+625
